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BANNAI Eiichi  坂内 英一

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… Alternative Names

板内 英一  バンナイ エイイチ

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Researcher Number 10011652
External Links
Affiliation (based on the past Project Information) *help 2013: 九州大学, 名誉教授
2011: Kyushu University, 数理(科)学研究科(研究院), その他
2010: 九州大学, 数理学研究院, 学術研究者
2009 – 2010: Kyushu University, 大学院・数理学研究院, 学術研究者
2009: 九州大学, 数理学研究院, 名誉教授 … More
2007 – 2008: Kyushu University, Faculty of Mathematics, Professor
2006 – 2008: 九州大学, 数理学研究院, 教授
2007: 九州大学, 大学院・理学研究院, 教授
2006: Kyushu University, Graduate School of Mathematics, Professor, 大学院数理学研究院, 教授
2006: Kyushu University, Faculty of Mathematics, Professor, 大学院数理科学研究院, 教授
2000 – 2005: Kyushu U.Facuety of Math, Professor, 大学院・数理学研究院, 教授
2001: Kyushu Univ., Graduate School of Math., Professor, 大学院・数理研究院, 教授
1994 – 2000: 九州大学, 大学院・数理学研究科, 教授
1998: 九州大学, 大学院数理学研究科, 教授
1996 – 1998: 九州大学, 数理学研究科, 教授
1996: KYUSHU UNIVERSITY,FACULTY OF SCIENCES,PROFESSOR, 数理科学研究科, 教授
1995: KYUSHU UNIV., GRADUATE SCHOOL OF MATH.PROFESSOR, 数理学専攻, 教授
1995: 九州大学大学院, 理学研究科, 教授
1994 – 1995: 九州大学, 大学院数理学研究科, 教授
1994: 九州大学, 数理学大学院, 教授
1990 – 1994: 九州大学, 理学部, 教授
1992: 九大, 理, 教授 Less
Review Section/Research Field
Principal Investigator
Algebra / 代数学・幾何学 / Algebra / General mathematics (including Probability theory/Statistical mathematics)
Except Principal Investigator
Algebra / Algebra / General mathematics (including Probability theory/Statistical mathematics) / 代数学・幾何学 / Geometry / 解析学 / Geometry / General mathematics (including Probability theory/Statistical mathematics)
Keywords
Principal Investigator
代数的組合せ論 / コード / アソシエーションスキーム / スピンモデル / モジュラー形式 / spherical design / code / algebraic combinatorics / 距離正則グラフ / 指標表 … More / modular form / 球面デザイン / spin model / association scheme / coherent configuration / 格子 / デザイン / 有限群の不変式環 / 保型形式 / Four-weight spin model / モジュラー不変性 / 有限アーベル群 / lattice / design / Bose-Mesner algebra / tight design / 有限アーベル群上のコード / 2次形式 / 正多面体 / リンクの不変量 / アソシェーションスキーム / moduler invariance / Hamming scheme / Hadamard行列 / sphece packing / Sphere packing / Moonshine / アソシエーションスキー / 球面上のデザイン / Ramanujan graph / tight designs / グラスマン空間 / kissing number / ラマンジャングラフ / アソシエーションスチーム / codes over finite alrelian group / finite ring / associationscheme / Algebraic combinatorics / Type IIコード / Terwilliger代数 / modular invariant / 有限環 / regular popyhedron / automorphic form / invariant ring of finite group / weight enumerator / association schemes / 複素鏡映群 / ヤコビ形式 / コヒアレント・ユンフィグレーション / 重さ枚挙多項式 / modular invariance / finite abelian group / link invariant / Lehmer予想 / tightデザイン / coherent cofiguration / 量子符号 / 重さ枚挙の多項式 / アーベル群上のコード / テーター関数 / 有限環上のコード / TypeIIコード / 分数ウェイトのモジュラー形式 / 有限群 / Terwilliger algebra / Jacobi forms / 重さ枚挙多項式(weight enumerator) / アソシエーションスキム / Bose-Mesner ulgebra / 代数的組み合せ論 / GL(n,q) / アソシェ-ションスキイム … More
Except Principal Investigator
保型形式 / スピンモデル / 整数論 / アソシエーションスキーム / 表現論 / 組合せ論 / TQFT / 群論 / 代数学 / 志村対応 / 微分作用素 / ジーゲル保型形式 / ゼータ関数 / Mackey functor / crossed G-set / Burnside ring / 頂点作用素代数 / 格子 / 幾何解析 / 微分方程式 / 微分幾何学 / 特異点論 / Frobenius theorem / monoidal category / finite group / combinatorics / Representation Theory / 代数群 / 有限単純群 / コード理論 / Combinatorics / 組合せ理論 / アルゴリズム / グラフ / 数論的幾何学 / 代数幾何学 / 環論 / 数理科学 / 量子群 / 次元公式 / L関数 / ヤコービ形式 / テータ関数 / 超特異アーベル多様体 / 2次形式 / 跡公式 / 符号 / モジュラー不変性 / 保型関数 / spin model / association scheme / 周期写像 / 鏡映群 / 超幾何凾数 / モジュライ / 配置空間 / Siegel modular form / lattice / multiple weight enumerator / Code / 二次形式 / 多重重み枚挙多項式 / 被覆半径 / Geometric analysis / Differential geometry / Electronic journal / Digital publication / Unexplored mathematics / Advanced Studies in Pure Mathematics / 微分幾何学シンポジウム / フィンスラー多様体 / 調和写像 / デジタル図書館 / 遡及的デジタル化 / 幾何解析学 / 幾何学シンポジウム / デジタル化 / 部分多様体論 / フィンスラー幾何学 / クラスファイル / 情報発信 / 未解決問題 / 電子ジャーナル / デジタル出版 / 未踏数学 / ASPM / algebraic combinatorics / prehomogeneous vector space / L-function / vertex operator algebra / quadratic form / number theory / modular form / zeta function / モジュラー多様体 / 共形場の理論 / エータ関数 / 概均質ベクトル空間 / ゼータ函数 / LATTICE / MODULAR FORM / SPIN MODEL / FINITE FIELD / DISTANCE-REGULAR GRAPH / SELF-DUAL CODE / ALGEBRAIC COMBINATORICS / モジュラー形成 / 代数的符号理論 / 有限体 / 距離正則グラフ / 自己双対符号 / 代数的符号 / Group Theory / Ring Theory / Algebraic Geometry / Number Theory / 解析数論 / 代数幾何 / 数論 / 4-weight spin models / modular invariance / s-distance sets / type II matrices / Bose-Mesnsr algebra / designs / Association Schemes / Spin model / 自己双対性 / SDP / symmetric design / self dual / 代数的組合せ論 / typeII行列 / 4-weight spin model / s-距離集合 / type II行列 / Bose-Mesner代数 / デザイン / Integrable system / Singularities / Group theory / Class field theory / Symplectic geometry / Global analysis / Mathematical science / 過剰決定系 / CR幾何学 / シンプレクティック幾何学 / 極小曲面 / 等質空間 / 特異点 / トポロジー / 組み合わせ論 / 幾何構造 / リー群 / 可積分系 / 類体論 / 組み合せ論 / シンプレクティック幾何 / 大域解析学 / modular representaion / modular representation / modnlar representation / Frohemins theoren / Macher functor / Burnsidering / Hecke algebras / vertex operator algebras / monster / algebraic groups / finite simple groups / アソシェーションスキーム / ヘッケ環 / 組合せ数学 / モンスター / digital image / algorithm / discrete geometry / topological graph theory / algebraic graph theory / graph theory / クリティカルグラフ / グラフの埋め込み / グラフの成分因子 / 格子点 / グラフの直径 / グラフのラベル付け / グラフの因子 / 幾何的グラフ理論 / 画像処理 / 離散幾何 / 幾何学的グラフ理論 / 代数的グラフ理論 / グラフ理論 / Aralytic Number Theory / Modular forms / Commutative ring theory / Algebraic Combinatorics / Algebraic Number Theory / Algebra / 可挽環論 / 可換環論 / 代数的組み合せ論 / 解析的整数論 / 可換理論 / 代数的組み合わせ論 / 代数的整数論 / Unitary Refrection Group / Finite Group / Association Scheme / Quantum Group / Kac-Moody Lie Algebra / 結び目 / アダマール行列 / 量子代数 / 統計力学 / アフィン・リー代数 / 最高ウェイト加群 / ホップ代数 / スピン・モデル / フュージョン代数 / モジュラー形式 / 相関関数 / 超幾何関数 / ユニタリ鏡映群 / 有限群 / アソシエーション・スキーム / カッツ・ムーディーリー環 / Association schemes / Spin models / Computational Geometry / Algorithms / Graph embedding / Connectivity / Cycles and paths of graphs / 指標表 / 双対グラフ / 連結度 / 埋め込み / 次数 / 閉路 / 分割問題 / 計算幾何 / 曲面への埋込み / SEMI-GROUP THEORY / ARITHMETIC GEOMETRY / ALGEBRAIC GEOMETRY / RING THEORY / GROUP THEORY / NUMBER THEORY / MATHEMATICAL SCIENCE / ALGEBRA / 半群論 / Quantum groups / Moduli space / Vassiliev invariants / Witten invariant / 3-manifold / Chern-Simons theory / braid group / Conformal field theory / moduli of riemann surfacesリ-マン面のモジュライ空 / solvable lattice models可解格子模型 / quantum group量子群 / conformal field theory共形場理論 / 3ーmanifold3次元多様体 / mapping class goup写像類群 / braid group組紐群 / 結び目理論 / 降中心列 / 写像類群 / モノドロミー表現 / モジュライ空間 / バシリエフ不変量 / ウィッテン不変量 / 3次元多様体 / チャーンサイモンズ理論 / 組みひも群 / 共形場理論 / L 関数の特殊値 / 保型形式の合同 / 特殊関数論 / 合同 / リフティング / 合同式 / テータ級数 / フーリエ係数 / 級数展開 / 2進的な保型形式 / 超特異多項式 / フリッケ群 / トンプソン級数 / 3進的保型形式 / アトキンの方法 / 2進的保型形式 / extremalな保型形式 / マッカイ・トンプソン級数 / p進的保型形式 / p進整数 / P- and Q- polynomial sch / distance-regular graph / P- and Q- polynomial scheme / Askey-Wilson polynomial / Augmented TD-aleebra / TD-algebra / Quantum affine algebra / P- and Q-poly. Scheme / 極値集合 / design / code / Leonard pair / TD-pair / Terwilliger algebra / P- and Q-polynomial scheme / ベクトル値保型形式 / 球関数 / Langlands予想 / Harder予想 / 超特異 / 特殊関数 / 半整数ウェイト / ラングランズ予想 / ホロノミー系 / セルバーグ跡公式 / アーベル多様体 / Dijkgraaf-Witten invariant / monoidal ctegory / vertex operator / カテゴリー / 予測モデル / 統計的検定 / 分割表解析 / ヤコビ形式 / 有限アーベル群 / 双対性 / アソシエ-シエンスキーム / 抽象Burn side 環 / モンスター群 / Dijkgraaf-Witten不変量 / テンソルカテゴリー / Heckeカテゴリー / テーター凾数 / 古典有界領域 / モノドロミイ群 / 交叉理論 / twisted (co) homology / ディリクレ指標 / ノルム剰余 / 円分体 / ルビン-ティト群 / p進ゼータ関数 / ガウス和 / linkの不変量 / Hadamard行列 / 差集合 / トロイダル コンパクト化 / 佐武コンパクト化 / 対称領域 Less
  • Research Projects

    (39 results)
  • Research Products

    (293 results)
  • Co-Researchers

    (109 People)
  •  Explicit study of arithmetic structures of automorphic forms of several variables and trace formulas

    • Principal Investigator
      IBUKIYAMA Tomoyoshi
    • Project Period (FY)
      2009 – 2013
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Algebra
    • Research Institution
      Osaka University
  •  Conclusive study of algebraic combinatoricsPrincipal Investigator

    • Principal Investigator
      BANNAI Eiichi
    • Project Period (FY)
      2008 – 2012
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Kyushu University
  •  Research on the theory of modular forms and modular functions using Mathematica

    • Principal Investigator
      KOIKE Masao
    • Project Period (FY)
      2007 – 2010
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Kyushu University
  •  Representations of Terwilliger algebras and their applications

    • Principal Investigator
      ITO Tatsuro
    • Project Period (FY)
      2006 – 2009
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Kanazawa University
  •  Explicit Study of Automorphic Forms of Several Variables and Algebraic and Geometric Invariants

    • Principal Investigator
      IBUKIYAMA Tomoyoshi
    • Project Period (FY)
      2005 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Algebra
    • Research Institution
      Osaka University
  •  Coding theory, the invariant theory for the finite fractional linear transformation groups and their applications to the number theory

    • Principal Investigator
      OZEKI Michio
    • Project Period (FY)
      2005 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Yamagata University
  •  Synthetic study of algebraic combinatoricsPrincipal Investigator

    • Principal Investigator
      BANNAI Eiichi
    • Project Period (FY)
      2004 – 2007
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Kyushu University
  •  Development of Unexplored Mathematics and Enhancement of Research Publication

    • Principal Investigator
      NISHIKAWA Seiki
    • Project Period (FY)
      2003 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Geometry
    • Research Institution
      Tohoku University
  •  Explicit study on automorphic structure in algebra and zeta functions.

    • Principal Investigator
      IBUKIYAMA Tomoyoshi
    • Project Period (FY)
      2001 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Algebra
    • Research Institution
      Osaka University
  •  Comprehensive study on Algebraic CombinatoricsPrincipal Investigator

    • Principal Investigator
      BANNAI Eiichi
    • Project Period (FY)
      2001 – 2003
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Kyushu University
  •  Study of relations and applications of Arithmetic Geometry to branches of Algebra

    • Principal Investigator
      MORITA Yasuo
    • Project Period (FY)
      2000 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Tohoku University
  •  ALGEBRAIC CODING THEORY, COMBINATORIAL DESIGNS AND ASSOCIATION SCHEMES

    • Principal Investigator
      MUNEMASA Akihiro
    • Project Period (FY)
      2000 – 2003
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      TOHOKU UNIVERSITY
      Kyushu University
  •  Fundamentals and Applications of Mathematics

    • Principal Investigator
      NISHIKAWA Seiki
    • Project Period (FY)
      1998 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Geometry
    • Research Institution
      Tohoku University
  •  Association schemes and spin models

    • Principal Investigator
      BANNNAI Etsuko
    • Project Period (FY)
      1998 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      KYUSHU UNIVERSITY
  •  コードの代数的組合せ論的研究Principal Investigator

    • Principal Investigator
      坂内 英一
    • Project Period (FY)
      1997 – 1999
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Kyushu University
  •  A collective study of algebraic combinatoricsPrincipal Investigator

    • Principal Investigator
      BANNAI Eiichi
    • Project Period (FY)
      1997 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (A).
    • Research Field
      Algebra
    • Research Institution
      KYUSHU UNIVERSITY
  •  無現可積分系への有限群論とカテゴリー論からのアブロ-チ

    • Principal Investigator
      吉田 知行
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research on Priority Areas
    • Research Institution
      Hokkaido University
  •  代数的組合せ論とその応用Principal Investigator

    • Principal Investigator
      坂内 英一
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Kyushu University
  •  Group theory and related topics

    • Principal Investigator
      YAMAKI Hiroyoshi
    • Project Period (FY)
      1996 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Algebra
    • Research Institution
      Kumamoto University
  •  Classical Problems in Group Theory

    • Principal Investigator
      YOSHIDA Tomoyuki
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      HOKKAIDO UNIVERSITY
  •  アソシエーションスキームにおけるコードとデザイン

    • Principal Investigator
      宗政 昭弘
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Kyushu University
  •  The research of algebra as fundamental tools of Mathematical Science

    • Principal Investigator
      KOIKE Masao
    • Project Period (FY)
      1995 – 1996
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Algebra
    • Research Institution
      KYUSHU UNIVERSITY
  •  GENERAL RESEARCH OF GRAPH THEORY

    • Principal Investigator
      KANO Mikio
    • Project Period (FY)
      1995 – 1996
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      IBARAKI UNIVERSITY
  •  Research on association schemes and related topicsPrincipal Investigator

    • Principal Investigator
      BANNAI Eiichi
    • Project Period (FY)
      1995 – 1996
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      KYUSHU UNIVERSITY
  •  無限可積分系への有限群論からのアプローチ

    • Principal Investigator
      YOSHIDA Tomoyuki
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for Scientific Research on Priority Areas
    • Research Institution
      Kumamoto University
  •  アソシエーションスキームとスピンモデルPrincipal Investigator

    • Principal Investigator
      坂内 英一
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for Scientific Research on Priority Areas
    • Research Institution
      Kyushu University
  •  代数的組合せ論の手法を用いるリンク、3次元多様体の位相不変量の構成

    • Principal Investigator
      BANNAI Etsuko
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Kyushu University
  •  アンシェーションスキームとスピンモデルPrincipal Investigator

    • Principal Investigator
      坂内 英一
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for Scientific Research on Priority Areas
    • Research Institution
      Kyushu University
  •  p進解析と代数的整数論

    • Principal Investigator
      白谷 克巳
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Kyushu University
  •  線型微分方程式の幾何学的研究

    • Principal Investigator
      吉田 正章
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Kyushu University
  •  Co-operative Research in Representation Theory

    • Principal Investigator
      KAWANAKA Noriaki
    • Project Period (FY)
      1993 – 1995
    • Research Category
      Grant-in-Aid for Co-operative Research (A)
    • Research Field
      Algebra
    • Research Institution
      OSAKA UNIVERSITY
  •  代数的組合せ論国際会議へ向けての準備Principal Investigator

    • Principal Investigator
      坂内 英一
    • Project Period (FY)
      1992
    • Research Category
      Grant-in-Aid for Co-operative Research (B)
    • Research Field
      代数学・幾何学
    • Research Institution
      Kyushu University
  •  差集合とassociation schemeの関連性の研究

    • Principal Investigator
      山田 美枝子
    • Project Period (FY)
      1992
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Kyushu University
  •  Co-Operative Research Algebra that is a Foundation of Mathematical Science

    • Principal Investigator
      MORITA Yasuo
    • Project Period (FY)
      1992 – 1994
    • Research Category
      Grant-in-Aid for Co-operative Research (A)
    • Research Field
      代数学・幾何学
    • Research Institution
      Tohoku University
  •  Combinatorial Theory

    • Principal Investigator
      ENOMOTO Hikoe
    • Project Period (FY)
      1992 – 1994
    • Research Category
      Grant-in-Aid for Co-operative Research (A)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Keio University
  •  Study of association schemesPrincipal Investigator

    • Principal Investigator
      BANNAI Eiichi
    • Project Period (FY)
      1992 – 1993
    • Research Category
      Grant-in-Aid for General Scientific Research (B)
    • Research Field
      代数学・幾何学
    • Research Institution
      KYUSHU UNIVERSITY
  •  フックス型線型微分方程式の幾何的研究

    • Principal Investigator
      YOSHIDA Masaaki
    • Project Period (FY)
      1991
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Kyushu University
  •  MATHEMATICAL PHYSICS,TOPOLOGY AND RELATED ALGEBRAIC STRUCTURE

    • Principal Investigator
      KOHNO Toshitake
    • Project Period (FY)
      1991 – 1993
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      UNIVERSITY OF TOKYO
      Kyushu University
  •  代数的組合せ論の研究(アソシェ-ションスキイムの表現論と分類問題の研究)Principal Investigator

    • Principal Investigator
      坂内 英一
    • Project Period (FY)
      1990
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Kyushu University

All 2011 2010 2009 2008 2007 2006 2005 2004 2003 2002 2001 Other

All Journal Article Presentation

  • [Journal Article] A new Euclidean tight 6-design2011

    • Author(s)
      Bannai, Eiichi ; Bannai, Etsuko ; Shigezumi, Junichi
    • Journal Title

      Annals of Combinatorics

      Volume: (印刷中)

    • NAID

      120003758418

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540017
  • [Journal Article] Tight 9-designs on two concentric spheres2011

    • Author(s)
      Bannai, Eiichi ; Bannai, Etsuko
    • Journal Title

      J.of Math.Soc.Japan

      Volume: (印刷中)

    • NAID

      10030344913

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540017
  • [Journal Article] Euclidean designs and coherent con-figurations2010

    • Author(s)
      Eiichi Bannai, Etsuko Bannai
    • Journal Title

      Contemporary Mathematics(ed.Richard Brualdi) (American Math.Soc.) 531

      Pages: 59-93

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540017
  • [Journal Article] Euclidean designs and coherent configurations2010

    • Author(s)
      Bannai, Eiichi ; Bannai, Etsuko
    • Journal Title

      Contemporary Mathematics

      Volume: 531 Pages: 59-93

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540017
  • [Journal Article] 純粋数学としての組合せ論2010

    • Author(s)
      坂内英一
    • Journal Title

      数学 62

      Pages: 433-452

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540017
  • [Journal Article] Toy models for D.H.Lehmer's conjecture2010

    • Author(s)
      E.Bannai, T.Miezaki
    • Journal Title

      J.Math.Soc.Japan 62

      Pages: 687-705

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540040
  • [Journal Article] Toy models for D.H.Lehmer's conjecture2010

    • Author(s)
      Bannai, Eiichi ; Miezaki, Tsuyoshi
    • Journal Title

      J.Math.Soc.Japan

      Volume: 62 Pages: 687-705

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540017
  • [Journal Article] Cubature formulas in numerical analysis and Euclidean tight designs2010

    • Author(s)
      Bannai, Eiichi, Bannai, Etsuko, Hirao, Masatake, Sawa, Masanori
    • Journal Title

      Europ.J.Combinatorics 31

      Pages: 423-441

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540017
  • [Journal Article] 純粋数学としての組合せ論2010

    • Author(s)
      坂内英一
    • Journal Title

      数学

      Volume: 62 Pages: 433-452

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540017
  • [Journal Article] Toy models for D.H.Lehmer's conjecture2010

    • Author(s)
      E.Bannai, T.Miezaki
    • Journal Title

      Journal of Mathematical Society of Japan

      Volume: 62 Pages: 687-705

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540040
  • [Journal Article] 純粋数学としての組合せ論2010

    • Author(s)
      坂内英一
    • Journal Title

      数学(日本数学会) 62(印刷中)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540017
  • [Journal Article] Toy models for D.H.Lehmer's conjecture2010

    • Author(s)
      Eiichi Bannai, Tsuyoshi Miezaki
    • Journal Title

      J.of Math.Soc.Japan 62

      Pages: 687-705

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540017
  • [Journal Article] A survey on spherical designs and algebraic combinatorics on spheres2009

    • Author(s)
      E.Bannai, E.Bannai
    • Journal Title

      European J.Combinatorics 30

      Pages: 1392-1425

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540040
  • [Journal Article] A survey on spherical designs and algebraic Combinatorics on spheres2009

    • Author(s)
      Eiichi Bannai, Etsuko Bannai
    • Journal Title

      Europ.J.Combinatorics 30

      Pages: 1392-1425

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540017
  • [Journal Article] A survey on spherical designs and algebraic combinatorics on spheres2009

    • Author(s)
      Bannai, Eiichi, Bannai, Etsuko
    • Journal Title

      Europ.J.Combinatorics 30

      Pages: 1392-1425

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540017
  • [Journal Article] On antipodal spherical $t$-designs of degree $s$ with $t\geq 2s-3$2009

    • Author(s)
      Bannai, Eiichi, Bannai, Etsuko
    • Journal Title

      Journal of Combinatorics, Information & System Sciences 34

      Pages: 33-50

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540017
  • [Journal Article] Spherical designs and Euclidean designs2009

    • Author(s)
      Bannai, Eiichi, Bannai, Etsuko
    • Journal Title

      Recent Developments in Algebra and Related Areas, ALM 8, Higher Education Press and International Press, Beijing-Boston 8

      Pages: 1-37

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540017
  • [Journal Article] Association schemes related to universally optimal configurations, Kerdock codes and extremal Euclidean line-sets2009

    • Author(s)
      Abduthalikov, Kanat, Bannai, Eiichi, Suda, Sho
    • Journal Title

      J. of Combinatorial Theory (A) 116

      Pages: 434-448

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540017
  • [Journal Article] The Mathematics of Donald Gordon Higman2009

    • Author(s)
      Bannai, Eiichi, Griess, Robert L.Jr., Praeger, Cheryl E., Scott, Leonard
    • Journal Title

      Michigan Mathematical Journal 58

      Pages: 3-30

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540017
  • [Journal Article] Finite Euclidean graphs and Ramanujan graphs2009

    • Author(s)
      Bannai, Eiichi, Shimabukuro, Osamu, Tnanaka, Hajime
    • Journal Title

      Discrete Mathematics 309

      Pages: 6126-6134

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540017
  • [Journal Article] On the zeros of Hecke type Faber polynomials2008

    • Author(s)
      Eiichi Bannai, Koji Kojima and Tsuyoshi Miezaki
    • Journal Title

      Kyushu J.Math 62

      Pages: 15-61

    • NAID

      110006647913

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340010
  • [Journal Article] Uniqueness of certain association schemes2008

    • Author(s)
      Bannai, Eiichi, Bannai, Etsuko, Bannai Hideo
    • Journal Title

      Europ. J. Combinatorics (spedal issue in honor of 80th birthday of Professor ZheXian Wan) 29

      Pages: 1379-1305

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540017
  • [Journal Article] Uniqueness of certain association schemes2008

    • Author(s)
      坂内 英一・坂内 悦子・坂内 英夫
    • Journal Title

      Europ.J.Combintorics(special issue in honor of 80th birthday of Professor ZheXian Wan) (掲載決定)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16340010
  • [Journal Article] Character tables of the association schemes coming from the action of $G_2(q)$ on hyperplanes of type $O_6^{\epsilon}(q)$2008

    • Author(s)
      Eiichi Bannai・Sung Yell Song・Hiromichi Yamada
    • Journal Title

      J.of Applied Math.and Computing (掲載決定)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16340010
  • [Journal Article] On the zeros of Hecke type Faber polynomials2008

    • Author(s)
      E. Bannai
    • Journal Title

      Kyushu J. Math 62

      Pages: 15-61

    • NAID

      110006647913

    • Data Source
      KAKENHI-PROJECT-18340022
  • [Journal Article] Uniqueness of certain association scheme2008

    • Author(s)
      Eiichi Bannai, Etsuko Bannai and Hideo Bannai
    • Journal Title

      accepted for publication, special issue in honor of80th birthday of Professor ZheXian Wan(=Europ.J.Combinatorics) (掲載決定)

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16340010
  • [Journal Article] On the zeros of Hecke type Faber polynomials2008

    • Author(s)
      Eiichi Bannai, K.Kojima and T.Miezaki
    • Journal Title

      Kyushu J.Math. (掲載決定)

    • NAID

      110006647913

    • Data Source
      KAKENHI-PROJECT-16340010
  • [Journal Article] Uniqueness of certain association schemes2008

    • Author(s)
      Bannai, Eiichi ; Bannai, Etsuko ; Bannai,Hideo
    • Journal Title

      Europ. J. Combinatorics 29

      Pages: 1379-1395

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17204002
  • [Journal Article] Character tables of the association schemes coming from the action of $G_2(q)$ on hyperplanes of type $0-6^{\epsilon}(q)$2008

    • Author(s)
      Eiichi Bannai, Sung Yell Song and Hiromichi Yamada
    • Journal Title

      accepted for publication, J.of Applied Math and Computing (掲載決定)

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16340010
  • [Journal Article] Characeter tables of the associationschemes coming from the actionof G_2(q) onhyperplanes of type O_6^{epsilon}(q)2008

    • Author(s)
      E.Bannai, S.Y.Song, H.Yamada
    • Journal Title

      Appl. Math and Computing 26

      Pages: 125-131

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17204002
  • [Journal Article] Uniqueness of certain association schemes2008

    • Author(s)
      E. Bannai
    • Journal Title

      special issue in honor of 80th birthday of Professor ZheXian Wan(=Europ. J.Combinatorics) (掲載確定)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340022
  • [Journal Article] Character tables of the association schemes coming from the action of G_2(q)on hyperplanes of type O^2 6 (q)2008

    • Author(s)
      E. Bannai
    • Journal Title

      J. of Applied Math. And Computing (掲載確定)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340022
  • [Journal Article] Character tables of the association schemes coming from the Action of $G_2(q)$ on hyperplanes of type $0_6^{epsilon} (q)$2007

    • Author(s)
      坂内英一, Sung Yell Song, 山田裕理
    • Journal Title

      J. Appl. Math & Computing (掲載予定)

    • Data Source
      KAKENHI-PROJECT-16340010
  • [Journal Article] Uniqueness of certain association schemes2007

    • Author(s)
      坂内英一, 坂内悦子, 坂内英夫
    • Journal Title

      Special issue in honor of 80th birthday of Professor ZheXianWan (=Europ. J. Combinatorics) (掲載予定)

    • Data Source
      KAKENHI-PROJECT-16340010
  • [Journal Article] On the zeros of Hecke type Faber polynomials2007

    • Author(s)
      坂内英一, 小島洸二, 三枝崎剛
    • Journal Title

      Kyushu J. Math. (掲載予定)

    • NAID

      110006647913

    • Data Source
      KAKENHI-PROJECT-16340010
  • [Journal Article] On the strong non-rigidity of certain tight Euclidean designs2007

    • Author(s)
      坂内英一, 坂内悦子
    • Journal Title

      Europ. J. Combinatorics (掲載予定)

    • Data Source
      KAKENHI-PROJECT-16340010
  • [Journal Article] On the strong non-rigidity of certain tight Euclidean designs2007

    • Author(s)
      Eiichi Bannai, Etsuko Bannai and and Djoko Suprijanto,
    • Journal Title

      Europ. J. Combinatorics 28

      Pages: 1662-1680

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17204002
  • [Journal Article] On the strong non-rigidity of certain tight Euclidean designs2007

    • Author(s)
      E. Bannai
    • Journal Title

      Europ. J. Combinatorics 28

      Pages: 1662-1680

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340022
  • [Journal Article] On the strong non-rigidity of certain tight Euclidean designs2007

    • Author(s)
      Eiichi Bannai, Etsuko Bannai and Djoko Suprijanto
    • Journal Title

      Europ.J.Combinatorics 28

      Pages: 1662-1680

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16340010
  • [Journal Article] On the strong non-rigidityof certain tight Euclidean designs, Europ2007

    • Author(s)
      Bannai,Eiichi, Bannai,Etsuko D. Suprijanto
    • Journal Title

      J. Combinatorics 28

      Pages: 1662-1680

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17204002
  • [Journal Article] On the strong non-rigidity of certain tight Euclidean designs2007

    • Author(s)
      坂内 英一・坂内 悦子・D.Suprijanto
    • Journal Title

      Europ.J.Combinatorics 28

      Pages: 1662-1680

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16340010
  • [Journal Article] On primitive symmetric association schemes with $m_1=3$2006

    • Author(s)
      Eiichi Bannai, Etsuko Bannai
    • Journal Title

      Contributions to Discrete Mathematics (a new Journal) Vol 1, No. 1

      Pages: 68-79

    • Data Source
      KAKENHI-PROJECT-17204002
  • [Journal Article] On optimal tight 4-designs on 2 concentric spheres2006

    • Author(s)
      Eiichi Bannai, Etsuko Bannai
    • Journal Title

      Europ.J.Combinatorics 27

      Pages: 179-192

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16340010
  • [Journal Article] Spherical designs attached to extremal lattices and the mod-ulo p property of Fourier coefficients of extremal modular forms2006

    • Author(s)
      Eiichi Bannai
    • Journal Title

      Moscow Mathematical Journal (with Masao Koike, Satoshi Shinohara, and Makoto Tagami). 6

      Pages: 225-264

    • Data Source
      KAKENHI-PROJECT-18340022
  • [Journal Article] On primitive symmetric association schemes with $m_1=3$2006

    • Author(s)
      坂内 英一, 坂内 悦子
    • Journal Title

      Contributions to Discrete Mathematics (a new Journal) 1

      Pages: 68-79

    • Data Source
      KAKENHI-PROJECT-16340010
  • [Journal Article] On Euclidean tight 4-designs2006

    • Author(s)
      Eiichi Bannai, Etsuko Bannai
    • Journal Title

      Journal of Mathematical Society of Japan 58

      Pages: 775-804

    • NAID

      10018381112

    • Data Source
      KAKENHI-PROJECT-17204002
  • [Journal Article] On Antipodal Euclidean Tight (2e+1)-Design2006

    • Author(s)
      Etsuko Bannai
    • Journal Title

      J.Algebraic Combinatorics 24

      Pages: 391-414

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16340010
  • [Journal Article] Note on integral Euclidean lattices in dimension 3.2006

    • Author(s)
      Eiichi Bannai
    • Journal Title

      Aren.Math. 86

      Pages: 56-59

    • Data Source
      KAKENHI-PROJECT-17540006
  • [Journal Article] On Euclidean tight 4-designs2006

    • Author(s)
      Eiichi, Bannai, Etsuko, Bannai
    • Journal Title

      J. of Math. Soc. Japan 58

      Pages: 775-804

    • NAID

      10018381112

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16340010
  • [Journal Article]2006

    • Author(s)
      坂内悦子
    • Journal Title

      J. Algebraic Combinatorics 24

      Pages: 391-414

    • Data Source
      KAKENHI-PROJECT-16340010
  • [Journal Article] A note on integral Euclidean lattices in dimension 3.2006

    • Author(s)
      Eiichi Bannai
    • Journal Title

      Arch. Math. (Basel) 86

      Pages: 56-59

    • Data Source
      KAKENHI-PROJECT-18340022
  • [Journal Article] Note on integral Euclidean lattices in dimension 3.2006

    • Author(s)
      Eiichi Bannai
    • Journal Title

      Arch. Math. 86

      Pages: 56-59

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-17540006
  • [Journal Article] On primitive symmetric association schemes with m_1=32006

    • Author(s)
      Eiichi Bannai, Etsuko Bannai
    • Journal Title

      Contributions to Discrete Mathematics 1

      Pages: 68-79

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16340010
  • [Journal Article] On Euclidean tight 4-designs2006

    • Author(s)
      Eiichi Bannai, Etsuko Bannai
    • Journal Title

      J.of Math.Soc.Japan 58

      Pages: 775-804

    • NAID

      10018381112

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16340010
  • [Journal Article] Spherical designs attached to extremal lattices and the modulo $p$ property of Fourier coefficients of extremal modular forms2006

    • Author(s)
      Eiichi Bannai, Masao Koike, Satoshi Shinohara, and Makoto Tagami
    • Journal Title

      Moscow Mathematical Journal 6

      Pages: 225-264

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16340010
  • [Journal Article] Spherical designs attached to extremal lattices and the modulo p property of Fourier coefficients of extremal modular forms2006

    • Author(s)
      Eiichi, Bannai, M., Koike, S., Shinohara, M., Tagami
    • Journal Title

      Moscow Mathematical Journal 6

      Pages: 225-264

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16340010
  • [Journal Article] A note on integral Euclidean lattices in dimension 32006

    • Author(s)
      坂内 英一
    • Journal Title

      Arch. Math. (Basel) 86

      Pages: 56-59

    • Data Source
      KAKENHI-PROJECT-16340010
  • [Journal Article] Spherical designs attached to extremal lattices and the modulo $p$ property of Fourier coefficients of extremal modular forms2006

    • Author(s)
      坂内英一, 小池正夫, 篠原雅史, 田上真
    • Journal Title

      Moscow Mathematical Journal 6

      Pages: 225-264

    • Data Source
      KAKENHI-PROJECT-16340010
  • [Journal Article] On Euclidean tight 4-designs2006

    • Author(s)
      Eiichi Bannai
    • Journal Title

      J. of Math. Soc. Japan (with Etsuko Bannai) 58

      Pages: 775-804

    • NAID

      10018381112

    • Data Source
      KAKENHI-PROJECT-18340022
  • [Journal Article] On primitive symmetric association schemes with m_1=32006

    • Author(s)
      Eiichi Bannai, Etsuko Bannai
    • Journal Title

      Contributions to Discrete Mathematics 1

      Pages: 68-79

    • Data Source
      KAKENHI-PROJECT-15204003
  • [Journal Article] On Euclidean tight 4-designs2006

    • Author(s)
      坂内 英一, 坂内 悦子
    • Journal Title

      J. of Math. Soc. Japan 58

      Pages: 775-804

    • NAID

      10018381112

    • Data Source
      KAKENHI-PROJECT-16340010
  • [Journal Article] A note on integral Euclidean lattices in dimension 32006

    • Author(s)
      Eiichi Bannai
    • Journal Title

      Arch.Math.(Basel) 86

      Pages: 56-59

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16340010
  • [Journal Article] On optimal tight 4-designs on 2 concentric spheres2006

    • Author(s)
      Eiichi Bannai, Etsuko Bannai
    • Journal Title

      Europ.J.Combinatorics 27巻

      Pages: 179-192

    • Data Source
      KAKENHI-PROJECT-17204002
  • [Journal Article] Note on integral Euclidean lattices in dimension 32006

    • Author(s)
      Eiichi Bannai
    • Journal Title

      Archiv.Math. 86

      Pages: 56-59

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540006
  • [Journal Article] A note on integral Euclidean lattices in dimension 3.2006

    • Author(s)
      Eiichi Bannai
    • Journal Title

      Arch. Math. (Basel) 86

      Pages: 56-59

    • Data Source
      KAKENHI-PROJECT-17204002
  • [Journal Article] On optimal tight 4-designs on 2 concentric spheres2006

    • Author(s)
      Eiichi Bannai, Etsuko Bannai
    • Journal Title

      Europian Journal of Combinatorics 27

      Pages: 179-192

    • Data Source
      KAKENHI-PROJECT-15204003
  • [Journal Article] On optimal tight 4-designs on 2 concentric spheres2006

    • Author(s)
      坂内 英一, 坂内 悦子
    • Journal Title

      Europ. J. Combinatorics 27

      Pages: 179-192

    • Data Source
      KAKENHI-PROJECT-16340010
  • [Journal Article] On Euclidean tight 4-designs2006

    • Author(s)
      Eiichi Bannai, Etsuko Bannai
    • Journal Title

      Journal of Mathematical Society of Japan 58

      Pages: 225-264

    • NAID

      10018381112

    • Data Source
      KAKENHI-PROJECT-15204003
  • [Journal Article] A note on integral Euclidean lattices in dimension 3.2006

    • Author(s)
      Eiichi, Bannai
    • Journal Title

      Arch. Math.(Basel) 86

      Pages: 56-59

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16340010
  • [Journal Article] On Antipodal Euclidean Tight (2e+1)-Designs2006

    • Author(s)
      Etsuko, Bannai
    • Journal Title

      J. Algebraic Combinatorics 24

      Pages: 391-414

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16340010
  • [Journal Article] Spherical designs attached to extremal lattices and the modulo $p$ property of Fourier coefficients of extremal modular forms2006

    • Author(s)
      Eiichi Bannai, Masao Koike, Satoshi Shinohara, Makoto Tagami
    • Journal Title

      Moscow Mathematical Journal 6

      Pages: 225-264

    • Data Source
      KAKENHI-PROJECT-17204002
  • [Journal Article] On primitive symmetric association schemes with $m_1=3$2006

    • Author(s)
      Eiichi Bannai
    • Journal Title

      Contributions to Discrete Mathematics 1

      Pages: 68-79

    • Data Source
      KAKENHI-PROJECT-18340022
  • [Journal Article] On optimal tight 4-designs on 2 concentric spheres2006

    • Author(s)
      Eiichi Bannai
    • Journal Title

      Europ. J. Combinatorics 27

      Pages: 179-192

    • Data Source
      KAKENHI-PROJECT-18340022
  • [Journal Article] The nonexistence of certain, tight spherical design2005

    • Author(s)
      Eiichi Bannai, Akihiro Munemasa and B.Venkov
    • Journal Title

      St. Petersburg Math.J.(Also, Algebra i Analiz, 16 (2004), 1-23.) 16

      Pages: 609-625

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16340010
  • [Journal Article] The nonexistence of certain tight spherical designs2005

    • Author(s)
      E.BANNAI, A.Munemasa, B.Venkov
    • Journal Title

      St.Petersburg Math.J. (Algebra i Analiz. 16(2004),1-23) 16

      Pages: 609-625

    • Data Source
      KAKENHI-PROJECT-16340010
  • [Journal Article] A note on the spherical embeddings of strongly regular graphs2005

    • Author(s)
      Eiichi Bannai, Etsuko Bannai
    • Journal Title

      Europ.J.Combinatorics 26

      Pages: 1177-1179

    • Data Source
      KAKENHI-PROJECT-16340010
  • [Journal Article] A note on the spherical embeddings of strongly regular graphs2005

    • Author(s)
      Eiichi Bannai, Etsuko Bannai
    • Journal Title

      Europ.J.Combinatorics 26巻

      Pages: 1177-1179

    • Data Source
      KAKENHI-PROJECT-17204002
  • [Journal Article] A note on the spherical embeddings of strongly regular graphs2005

    • Author(s)
      Eiichi Bannai, Etsuko Bannai
    • Journal Title

      Europian Journal of Combinatorics 26

      Pages: 1177-1179

    • Data Source
      KAKENHI-PROJECT-15204003
  • [Journal Article] Tight Gaussian 4-designs2005

    • Author(s)
      Eiichi Bannai, Etsuko Bannai
    • Journal Title

      J. of Algebraic Combinatorics 22

      Pages: 39-63

    • Data Source
      KAKENHI-PROJECT-16340010
  • [Journal Article] The nonexistence of certain tight spherical designs2005

    • Author(s)
      E.Bannai, A.Munemasa, B.Venkov
    • Journal Title

      St.Petersburg Mathematical Journal 16巻

      Pages: 609-625

    • Data Source
      KAKENHI-PROJECT-17204002
  • [Journal Article] Tight Gaussian 4-designs2005

    • Author(s)
      Eiichi Bannai, Etsuko Bannai
    • Journal Title

      Journal of Algebraic Combinatorics 22巻

      Pages: 39-63

    • Data Source
      KAKENHI-PROJECT-17204002
  • [Journal Article] A note on the sph erical embeddings of strongly regular graphs2005

    • Author(s)
      Eiichi Bannai, Etsuko Bannai
    • Journal Title

      Europ.J.Combinatorics 26

      Pages: 1177-1179

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16340010
  • [Journal Article] Tight Gaussian 4-designs2005

    • Author(s)
      Eiichi Bannai
    • Journal Title

      Journal of Algebraic Combinatorics 22

      Pages: 39-63

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15204003
  • [Journal Article] The nonexistence of certain tight spherical designs2005

    • Author(s)
      Eiichi, Bannai, A., Munemasa, B., Venkov
    • Journal Title

      St. Petersburg Math. J. 16

      Pages: 605-625

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16340010
  • [Journal Article] Tight Gaussian 4-designs2005

    • Author(s)
      Eiichi Bannai, Etsuko Bannai
    • Journal Title

      J.of Algebraic Combinatorics 22

      Pages: 39-63

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16340010
  • [Journal Article] Tight Gaussian 4-designs2005

    • Author(s)
      Eiichi Bannai, Etsuko Bannai
    • Journal Title

      Journal of Algebraic Combinatorics 22

      Pages: 39-63

    • Data Source
      KAKENHI-PROJECT-15204003
  • [Journal Article] Code and designs in Grassmannian Spaces2004

    • Author(s)
      C.Bochoc, E.Bannai, R.Coulangeon
    • Journal Title

      Discrete Math. 277

      Pages: 15-28

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-13440011
  • [Journal Article] Codes and designs in Grassmannian spaces (with Christine Bachoc and Renaud Coulangeon)2004

    • Author(s)
      E.Bannai
    • Journal Title

      Discrete Math. 277

      Pages: 15-28

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-13304002
  • [Journal Article] Finite analogues of non-Euclidean spaces and Ramanujan graphs2004

    • Author(s)
      Eiichi Bannai, O.Shimabukuro, H.Tanaka
    • Journal Title

      European Journal of Combinatorics 25・2

      Pages: 243-259

    • Data Source
      KAKENHI-PROJECT-15204003
  • [Journal Article] Codes and Designs in Grassmannian Spaces2004

    • Author(s)
      C.Bachoc, E.Bannai, R.Coulangeon
    • Journal Title

      Discrete Math. 277

      Pages: 15-28

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-13440011
  • [Journal Article] Finite analogues of non-Euclidean spaces and Ramanujan graphs (with Osamu Shimabukuro and Hajime Tanaka)2004

    • Author(s)
      E.Bannai
    • Journal Title

      European Journal of Combinatorics 25

      Pages: 243-259

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-13304002
  • [Journal Article] Finite analogues of non-Euclidean graphs and Ramanujan graphs2004

    • Author(s)
      E.Bannai, O.Shimanukuro, H.Tanaka
    • Journal Title

      European J.Combinatorics 25

      Pages: 243-259

    • Data Source
      KAKENHI-PROJECT-13304002
  • [Journal Article] Codes and designs in Grassmannian spaces2004

    • Author(s)
      E.Bannai, C.Bachoc, R.Coulangeon
    • Journal Title

      Discrete Math 277

      Pages: 15-28

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-13304002
  • [Journal Article] 球の詰め込み問題についての最近の進展,Cohn-Elkies-Kumarの仕事の紹介を中心にして2004

    • Author(s)
      坂内英一
    • Journal Title

      京大数理研報告集「代数的組合せ論」 1392

      Pages: 1-14

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-13304002
  • [Journal Article] Codes and designs in Grassmannian spaces2004

    • Author(s)
      E.Bannai
    • Journal Title

      Discrete Math. 277

      Pages: 15-28

    • Data Source
      KAKENHI-PROJECT-13304002
  • [Journal Article] The nonexistence of centain tight sphercal designs2004

    • Author(s)
      E.Bannai, A.Munemasa, B.Venkov
    • Journal Title

      Algebra i Analiz 16

      Pages: 1-23

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-13440011
  • [Journal Article] Finite analogues of non-Euclidean spaces and Ramanujan graphs2004

    • Author(s)
      E.Bannai, O.Shimabukuro, H.Tanaka
    • Journal Title

      European Journal of Combinatorics 25

      Pages: 243-259

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-13304002
  • [Journal Article] The nonexistence of certain tight spherical designs2004

    • Author(s)
      E.Bannai, A.Munemasa, B.Venkov
    • Journal Title

      Algebra i Analiz 16

      Pages: 1-23

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-13304002
  • [Journal Article] Finite analogues of non-Euclidean spaces and Ramanujan graphs2004

    • Author(s)
      Eiichi Bannai, Osamu Shimabukuro and Hajime Tanaka
    • Journal Title

      European Journal of Combinatorics 25

      Pages: 243-259

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16340010
  • [Journal Article] Recent development of sphere packings, mainly after the works of Cohn-Elkies-Kumar (in Japanese)2004

    • Author(s)
      E.Bannai
    • Journal Title

      Kyoto Univ.Suriken-Kokyuroku No.1392 Algebraic Combinatorics

      Pages: 1-14

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-13304002
  • [Journal Article] On optimal sets in Musin's paper "The kissing number in four dimensions (with Makoto Tagami)2004

    • Author(s)
      E.Bannai
    • Journal Title

      Poceedings of COE Workshop on Sphere Packings, MHF Lecture Note Series Vol 1

      Pages: 26-31

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-13304002
  • [Journal Article] The nonexistence of certain tight spherical designs2004

    • Author(s)
      E.Bannai, A.Munemasa, B.Venkov
    • Journal Title

      Algebra i Analiz 16

      Pages: 1-23

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-13440011
  • [Journal Article] The non existence of certain tight spherical designs2004

    • Author(s)
      E.Bannai, A.Munemasa, B.Venkov
    • Journal Title

      Algebra i Analiz 16

      Pages: 1-23

    • Data Source
      KAKENHI-PROJECT-16340010
  • [Journal Article] The nonexistence of certain tight spherical designs (with A.Munemasa and B.Venkov)2004

    • Author(s)
      E.Bannai
    • Journal Title

      Algebra i Analiz 16

      Pages: 1-23

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-13304002
  • [Journal Article] The nonexistence of certain tight spherical designs2004

    • Author(s)
      E.Bannai
    • Journal Title

      Algebra i Analiz 16

      Pages: 1-23

    • Data Source
      KAKENHI-PROJECT-13304002
  • [Journal Article] The nonexistence of certain tight spherical designs2004

    • Author(s)
      Eiichi Bannai, A.Munemasa, B.Vencov
    • Journal Title

      Algebra i Analiz 16・4

      Pages: 1-23

    • Data Source
      KAKENHI-PROJECT-15204003
  • [Journal Article] On optimal sets in Musin's paper "The Kissing number in four dimensions2004

    • Author(s)
      E.Bannai, M.Tagami
    • Journal Title

      Proceedings of COE Workshop on Sphere Packing MHF Lecture Note Series 1

      Pages: 26-31

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-13304002
  • [Journal Article] The decomposition of the permutation character 1^<GL(2n,9)>_<sp(2n,9)>2003

    • Author(s)
      E.Bannai, H.Tanaka
    • Journal Title

      J. of Algebra 265

      Pages: 496-512

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-13440011
  • [Journal Article] Type II Codes over F_2+uF_2 and applications to hermitian modular forms2003

    • Author(s)
      E.Bannai, M.Harada, T.Ibukiyama, A.Munemasa, M.Oura
    • Journal Title

      Abhand.Math.Semi.Univ.Hamburg 73

      Pages: 13-42

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-13304002
  • [Journal Article] Type II codes over F_2+u F_2 and applications to Hermitian modular forms2003

    • Author(s)
      E.Bannai, M.Narada, T.Ibukiyama, A.Munemasa, M.Oura
    • Journal Title

      Abh.Math.Sem.Univ.Hamburg 73

      Pages: 13-42

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-13440011
  • [Journal Article] Type II Codes over F_2+uF_2 and applications to hermitian modular forms2003

    • Author(s)
      E.Bannai, M.Harada, T.Ibukiyama, A.Munemasa, M.Oura
    • Journal Title

      Abhand.Math.Semi.Univ.Hamburg, Band 73

      Pages: 13-42

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-13304002
  • [Journal Article] The decomposition of the permutation character 1^<GL(2n,q)>_<GL(n,q^2)> (with Hajime Tanaka)2003

    • Author(s)
      E.Bannai
    • Journal Title

      J.of Algebra 265

      Pages: 496-512

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-13304002
  • [Journal Article] The decomposition of the permutation character 1^<GL(2n,g)>_<Sp(2n,g)>2003

    • Author(s)
      E.Bannai, H.Tanaka
    • Journal Title

      J.of Algebra 265

      Pages: 496-512

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-13440011
  • [Journal Article] The decomposition of the permutation character 1^<GL(2n,q)>_<GL(n,q^2)>2003

    • Author(s)
      E.Bannai, H.Tanaka
    • Journal Title

      J.of Algebra 265

      Pages: 496-512

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-13304002
  • [Journal Article] Type II codes over √<t_2>+u√<t_2> and applications to Hermitian modular forms2003

    • Author(s)
      E.Bannai, M.Harada, T.Ibukiyama, A.Munemasa, M.Oura
    • Journal Title

      Abh. Math. Sem. Univ. Humburg 73

      Pages: 13-42

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-13440011
  • [Journal Article] Modular invariants of the modular data of finite groups2002

    • Author(s)
      E.Bannai, E.Bannai, O.Shimabukuro, M.Tagami
    • Journal Title

      Matimyas Matematika 25

      Pages: 12-24

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-13304002
  • [Journal Article] On Some Gelfand Pair and Commutative Association Schemes2002

    • Author(s)
      坂内英一, 田中太初
    • Journal Title

      組合せ論的数論と代数的組合せ論についての研究集会報告集

      Pages: 1-8

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-13304002
  • [Journal Article] Modular invariants of the modular data of finite groups (with Etsuko Bannai, Osamu Shimabukuro and Makoto Tagami)2002

    • Author(s)
      E.Bannai
    • Journal Title

      Matimyas Matematika (Official Journal of Mathematical Society of Philippines)(special issue) Vol 25

      Pages: 12-24

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-13304002
  • [Journal Article] On Some Gelfand Pairs and Commutative Association Schemes2002

    • Author(s)
      E.Bannai, H.Tanaka
    • Journal Title

      Proceedings of Meeting on combinatorial number theory and algebraic combinatorics(Yamagata Univ.)

      Pages: 1-8

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-13304002
  • [Journal Article] Some Results on Modular Forms, -Subgroups of the Modular Group Whose Ring of Modular Forms is a Polynomial Ring (with Masao Koike, Akihiro Munemasa and Jiro Sekiguchi)2001

    • Author(s)
      E.Bannai
    • Journal Title

      Advanced Studies in Pure Mathematics Vol 32

      Pages: 245-254

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-13304002
  • [Journal Article] Some results on modular forms - Subgroups of the modular group whose ring of modular forms is a polynomial ring2001

    • Author(s)
      E.Bannai, M.Koike, A.Munemasa, J.Sekiguchi
    • Journal Title

      Advanced Studies in pure Math 32

      Pages: 245-254

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-13440011
  • [Journal Article] Some results on modular forms -- subgroups of the modular group whose ring of modular forms is a polynomial ring2001

    • Author(s)
      E.Bannai, M.Koike, A.Munemasa, J.Sekiguchi
    • Journal Title

      Advanced Studies in Pure Math 32

      Pages: 245-254

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-13440011
  • [Journal Article] Some Results on Modular Forms - Subgroups of the Modular Group Whose Ring of Modular Forms is a Polynomial Ring2001

    • Author(s)
      E.Bannai, M.Koike, A.Munemasa, J.Sekiguchi
    • Journal Title

      Advanced Studies in Pure Mathematics 32

      Pages: 245-254

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-13304002
  • [Journal Article] On the zeros of Hecke type Faber polynomials

    • Author(s)
      E.Bannai, two others
    • Journal Title

      Kyushu J. Math (to appear)

    • NAID

      110006647913

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540006
  • [Journal Article] A new example of Euclidean tight 6-design

    • Author(s)
      Eiichi Bannai, Etsuko Bannai, Junichi Shigezumi
    • Journal Title

      Annals of Combinatorics 印刷中

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540017
  • [Journal Article] Tight Gaussian 4-designs

    • Author(s)
      Eiichi Bannai, Etsuko Bannai
    • Journal Title

      J.of Algebraic Combinatorics (accepted from publication)

    • Data Source
      KAKENHI-PROJECT-16340010
  • [Journal Article] Tight Gaussian 4-designs

    • Author(s)
      Eiichi Bannai, Etsuko Bannai
    • Journal Title

      J.of Algebraic Combinatorics (to appear)

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-13440011
  • [Journal Article] Tight Gaussian 4- designs

    • Author(s)
      Eiichi Bannai, Etsuko Bannai
    • Journal Title

      J. of Algebraic combinatorics Accepted for publication

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-13440011
  • [Journal Article] On the strong non-rigidity of certain tight Euclidean designs

    • Author(s)
      E.Bannai, two others
    • Journal Title

      European J.Combinatorics(M.Kitazume, two others)(Finite permutation groups and self-orthogonal codes, J.of Alg.) (to appear)

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540006
  • [Journal Article] The Mathematics of Donald Gordon Higman

    • Author(s)
      Bannai, Eiichi, Griess, Robert L. Jr., Praeger, Cheryl E. Scott, Leonard
    • Journal Title

      Michigan Mathematical Journal 掲載決定

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540017
  • [Journal Article] Cubature formulas in numerical analysis and Euclidean tight designs

    • Author(s)
      Bannai, Eiichi, Bannai, Etsuko, Hirao, Masatake, Sawa, Masanori
    • Journal Title

      Special issue in honor of Michel Deza (=Europ. J. Combinatorics). 掲載決定

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540017
  • [Journal Article] On antipodal spherical t-designs of degree s with t〓2s-3

    • Author(s)
      Bannai, Eiichi, Bannai, Etsuko
    • Journal Title

      a special volume of Journal of Combinatorics, Information and System Sciences, honoring the 75th birthday of Prof. D. K. Ray-Chaudhuri. 掲載決定

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540017
  • [Journal Article] A note on integral Euclidean lattices in dimension 3

    • Author(s)
      Eiichi Bannai
    • Journal Title

      Arch.Math. Accepted for publication

    • Data Source
      KAKENHI-PROJECT-16340010
  • [Journal Article] On the strong non-rigidity of certain tight Euclidean designs

    • Author(s)
      E.Bannai, E.Bannai, D Saprianto
    • Journal Title

      Europ J.Combinatorics (to appear)

    • Data Source
      KAKENHI-PROJECT-17540006
  • [Journal Article] On the zeros of Hecke type Faber polynoinials.

    • Author(s)
      E.Bannai, K.Kojima, T.Miezaki
    • Journal Title

      Kyushu J.Math. (to appear)

    • Data Source
      KAKENHI-PROJECT-17540006
  • [Journal Article] On the strong non-rigidity of certain tight Euclidean de-signs

    • Author(s)
      Eiichi Bannai
    • Journal Title

      Europ. J. Combinatorics (with Etsuko Bannaiand Djoko Suprijanto). (accepted for publication)

    • Data Source
      KAKENHI-PROJECT-18340022
  • [Journal Article] On the strong non-rigidity of certain tight Eucliean designs

    • Author(s)
      E.Bannai, E.Bannai, D.Suprianto
    • Journal Title

      Europ J. Combinatorics (to appear)

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-17540006
  • [Journal Article] On Euclidean tight 4-designs

    • Author(s)
      Eiichi Bannai, Etsuko Bannai
    • Journal Title

      J. of Math.Soc.Japan accepted for publication

    • NAID

      10018381112

    • Data Source
      KAKENHI-PROJECT-16340010
  • [Journal Article] A survey on spherical designs and algebraic combinatorics on spheres

    • Author(s)
      Bannai, Eiichi, Bannai, Etsuko
    • Journal Title

      Europ. J. Combinatorics. 掲載決定

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540017
  • [Journal Article] Uniqueness of certain association schemes

    • Author(s)
      Eiichi Bannai
    • Journal Title

      special issue in honor of 80th birthday of Professor ZheXian Wan (=Europ. J. Combinatorics) (with Etsuko Bannai and Hideo Ban-nai). (accepted for publication)

    • Data Source
      KAKENHI-PROJECT-18340022
  • [Journal Article] On the zeros of Hecke type Faber polynomials

    • Author(s)
      E.Bannai, K.Kojima, T.Miezaki
    • Journal Title

      Kyushu J. Math. (to appear)

    • NAID

      110006647913

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-17540006
  • [Journal Article] On primitive symmetric association schemes with $m_1=3$

    • Author(s)
      Eiichi Bannai, Etsuko Bannai
    • Journal Title

      Contributions to Discrete Mathematics (a new Journal) accepted for publication

    • Data Source
      KAKENHI-PROJECT-16340010
  • [Journal Article] On the zeros of Hecke type Faber polynomials

    • Author(s)
      Eiichi Bannai
    • Journal Title

      Kyushu J. Math.(with Koji Kojima and Tsuyoshi Miezaki) (accepted for publication)

    • NAID

      110006647913

    • Data Source
      KAKENHI-PROJECT-18340022
  • [Journal Article] Characeter tables of the association schemes coming from tha action of G_2q on hyperplanes of type O^e_6(q)

    • Author(s)
      Eiichi Bannai
    • Journal Title

      J. Appl. Math & Computing (with Sung Yell Song and Hiromichi Yamada). (accepted for publication)

    • Data Source
      KAKENHI-PROJECT-18340022
  • [Journal Article] Tight 9-designs on two concentric spheres

    • Author(s)
      Eiichi Bannai, Etsuko Bannai
    • Journal Title

      J.of Math.Soc.Japan 印刷中

    • NAID

      10030344913

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540017
  • [Presentation] Introduction on spherical designs and Euclidean designs2011

    • Author(s)
      坂内英一
    • Organizer
      近畿大学談話会
    • Place of Presentation
      近畿大学
    • Year and Date
      2011-01-18
    • Data Source
      KAKENHI-PROJECT-20540017
  • [Presentation] More on Euclidean tight $t$-designs2010

    • Author(s)
      坂内英一
    • Organizer
      The 8th Korea-Japan Workshop on Algebra and Combinatorics
    • Place of Presentation
      Postech, Pohang, Korea
    • Year and Date
      2010-02-05
    • Data Source
      KAKENHI-PROJECT-20540017
  • [Presentation] $t$-designs in real hyperbolic spaces2010

    • Author(s)
      坂内英一
    • Organizer
      代数的組合せ論ミニ集会
    • Place of Presentation
      神戸学院大学、神戸市
    • Year and Date
      2010-03-17
    • Data Source
      KAKENHI-PROJECT-20540017
  • [Presentation] Euclidean designs and cubature formulas for spherical symmetric measures on $R^n$2010

    • Author(s)
      Eiichi Bannai
    • Organizer
      Optimal Configurations on the Sphere and Other Manifolds
    • Place of Presentation
      Vanderbilt Univ, Nashville, USA
    • Year and Date
      2010-05-19
    • Data Source
      KAKENHI-PROJECT-20540017
  • [Presentation] A survey on spherical designs and Euclidean designs2010

    • Author(s)
      Eiichi Bannai
    • Organizer
      Geometry, Topology, Algebra and Number Theory,Applications (Delone-120Conference)
    • Place of Presentation
      Steklov Math.Inst., Moscow, Russia(plenary talk)
    • Data Source
      KAKENHI-PROJECT-20540017
  • [Presentation] Introduction to spherical designs and Euclidean designs2010

    • Author(s)
      Eiichi Bannai
    • Organizer
      Workshop om Algebraic Combinatorics
    • Place of Presentation
      Hebei Normal University, Shijiazhuang, China
    • Year and Date
      2010-11-27
    • Data Source
      KAKENHI-PROJECT-20540017
  • [Presentation] On the concept of t-designs on the sphere, Euclidean space, and the real hyperbolic space2010

    • Author(s)
      Eiichi Bannai
    • Organizer
      International Conference on Algebraic and Geometric Combinatorics(AGC2010)
    • Place of Presentation
      Kyonju, Korea
    • Year and Date
      2010-07-12
    • Data Source
      KAKENHI-PROJECT-20540017
  • [Presentation] Spherical designs and toy models for D.H.Lehmer's conjecture in number theory2010

    • Author(s)
      Eiichi Bannai
    • Organizer
      University of Rome 1 (La Sapienza)
    • Place of Presentation
      (60 min.)
    • Year and Date
      2010-04-22
    • Data Source
      KAKENHI-PROJECT-20540017
  • [Presentation] 球の詰め込み問題について2010

    • Author(s)
      坂内英一
    • Organizer
      大阪大学理学部学生に対する特別講義、理学への招待
    • Place of Presentation
      大阪大学
    • Year and Date
      2010-05-06
    • Data Source
      KAKENHI-PROJECT-20540017
  • [Presentation] Euclidean designs and cubature formulas for spherical symmetric measures on R^n2010

    • Author(s)
      Eiichi Bannai
    • Organizer
      Optimal Configurations on the Sphere and Other Manifolds
    • Place of Presentation
      Vanderbilt Univ, Nashville, USA(30 min)
    • Year and Date
      2010-05-19
    • Data Source
      KAKENHI-PROJECT-20540017
  • [Presentation] Spherical designs and D.H.Lehmer's conjecture2010

    • Author(s)
      Eiichi Bannai
    • Organizer
      Focused Week on Integral Lattices, University of Florida
    • Place of Presentation
      Gainesville, Florida, USA.(50 minutes)
    • Year and Date
      2010-02-16
    • Data Source
      KAKENHI-PROJECT-20540017
  • [Presentation] Several remarks on the concepts of t-designs2010

    • Author(s)
      坂内英一
    • Organizer
      第27回代数的組合せ論シンポジウム
    • Place of Presentation
      高知大学
    • Year and Date
      2010-06-21
    • Data Source
      KAKENHI-PROJECT-20540017
  • [Presentation] A survey on spherical designs, with emphasis on the aspects related to fnite groups2010

    • Author(s)
      Eiichi Bannai
    • Organizer
      ISCHIA GROUP THEORY 2010
    • Place of Presentation
      Ischia, Italy
    • Year and Date
      2010-04-16
    • Data Source
      KAKENHI-PROJECT-20540017
  • [Presentation] Spherical designs and toy models for D.H.Lehmer's conjecture in number theory2010

    • Author(s)
      Eiichi Bannai
    • Organizer
      Seminar talk at University of Rome 1
    • Place of Presentation
      University of Rome 1(La Sapienza)
    • Year and Date
      2010-04-22
    • Data Source
      KAKENHI-PROJECT-20540017
  • [Presentation] Spherical designsand D.H.Lehmer's conjecture2010

    • Author(s)
      坂内英一
    • Organizer
      Focused Week on Integral Lattices
    • Place of Presentation
      University of Florida, Gainesville, Florida, USA
    • Year and Date
      2010-02-16
    • Data Source
      KAKENHI-PROJECT-20540017
  • [Presentation] Euclidean designs and cubature formulas in Euclidean spaces2010

    • Author(s)
      Eiichi Bannai
    • Organizer
      Colloquium at Department of Mathematics, Pusan National University
    • Place of Presentation
      Pusan National University, Korea
    • Year and Date
      2010-05-28
    • Data Source
      KAKENHI-PROJECT-20540017
  • [Presentation] A survey on spherical designs and Euclidean designs2010

    • Author(s)
      Eiichi Bannai
    • Organizer
      The International Conference "Geometry, Topology, Algebra and Number Theory, and Applications (Delone120)
    • Place of Presentation
      Steklov Inst.Math.Moscow
    • Year and Date
      2010-08-16
    • Data Source
      KAKENHI-PROJECT-20540017
  • [Presentation] A survey on spherical designs and algebraic combinatorics on spheres2010

    • Author(s)
      Eiichi Bannai
    • Organizer
      Seminar talk at University of Rome 3
    • Place of Presentation
      University of Rome 3
    • Year and Date
      2010-04-19
    • Data Source
      KAKENHI-PROJECT-20540017
  • [Presentation] On the concept of t-designs on the sphere, Euclidean space, and the real hyperbolic space2010

    • Author(s)
      坂内英一
    • Organizer
      ISM Symposium on Stochastic Models and Discrete Geometry
    • Place of Presentation
      統数研、立川市
    • Year and Date
      2010-03-01
    • Data Source
      KAKENHI-PROJECT-20540017
  • [Presentation] Toy models of D.H.Lehmer's conjecture2009

    • Author(s)
      坂内英一
    • Organizer
      The analytic theory of modular forms at the 65th birthday of Roelof Bruggeman
    • Place of Presentation
      Woudschoten, The Nether lands
    • Year and Date
      2009-06-18
    • Data Source
      KAKENHI-PROJECT-20540017
  • [Presentation] Review of spherical designs(three 50 minute talks)2009

    • Author(s)
      坂内英一
    • Organizer
      CIMPA-UNESCO-PHILIPPINES School : Semidefinite Programming in Algebraic Combinatoricss Symposium
    • Place of Presentation
      University of the Philippines, Manilla, Philippines
    • Data Source
      KAKENHI-PROJECT-20540017
  • [Presentation] Toy models of D.H.Lehmer's conjecture2009

    • Author(s)
      Eiichi Bannai
    • Organizer
      The analytic theory of modular forms at the 65th birthday of Roelof Bruggeman
    • Place of Presentation
      Woudschoten, The Netherlands(60 minutes)
    • Year and Date
      2009-06-18
    • Data Source
      KAKENHI-PROJECT-20540017
  • [Presentation] Examples and classifications of certain Euclidean $t$-designs2009

    • Author(s)
      坂内英一
    • Organizer
      Metric Graph Theory
    • Place of Presentation
      東横ホテル、金沢市
    • Year and Date
      2009-11-11
    • Data Source
      KAKENHI-PROJECT-20540017
  • [Presentation] Euclidean designs and coherent configurations2009

    • Author(s)
      坂内英一
    • Organizer
      26th Algebraic Combinatoric
    • Place of Presentation
      遊学館、山形市
    • Year and Date
      2009-06-26
    • Data Source
      KAKENHI-PROJECT-20540017
  • [Presentation] Review of spherical designs2009

    • Author(s)
      Eiichi Bannai
    • Organizer
      CIMPA-UNESCO-PHILIPPINES School : Semidefinite Programming in Algebraic Com-binatorics
    • Place of Presentation
      University of the Philippines, Manilla(five 50 minute talks)
    • Data Source
      KAKENHI-PROJECT-20540017
  • [Presentation] Toy models of D.H.Lehmer's conjecture2009

    • Author(s)
      坂内英一
    • Organizer
      Discrete Geometry and Statistics of Configurations
    • Place of Presentation
      Steklov Institute of Math., Moscow, Russia
    • Year and Date
      2009-06-01
    • Data Source
      KAKENHI-PROJECT-20540017
  • [Presentation] Spherical designs and toy models of D.H.Lehmer's conjecture in number theory2009

    • Author(s)
      坂内英一
    • Organizer
      金沢大学数学教室談話会
    • Place of Presentation
      金沢大学、金沢市
    • Year and Date
      2009-11-04
    • Data Source
      KAKENHI-PROJECT-20540017
  • [Presentation] Lehmer's conjecture6th Korea Japan workshop on Algebra and Combinatorics2009

    • Author(s)
      E. Bannai and T. Miezaki, Toy models for D. H.
    • Organizer
      Pusan National University
    • Place of Presentation
      Pusan, Korea
    • Year and Date
      2009-02-10
    • Data Source
      KAKENHI-PROJECT-17204002
  • [Presentation] On spherical designs I, II(two 75 minute talks)2009

    • Author(s)
      坂内英一
    • Organizer
      Hebei Normal University
    • Place of Presentation
      Shijiazhuang, China
    • Data Source
      KAKENHI-PROJECT-20540017
  • [Presentation] "Combinatorics as pure mathematics----Aims of Algebraic Combinatorics"(90 minutes), and "Spherical designs and toy models of D.H.Lehmer's conjecture in number theory",(60 minutes)2009

    • Author(s)
      坂内英一
    • Organizer
      Shanghai Jiao Tong University
    • Place of Presentation
      Shanghai, China
    • Data Source
      KAKENHI-PROJECT-20540017
  • [Presentation] On the late work of D. G. Higman on combinatorics and groups2009

    • Author(s)
      坂内 英一
    • Organizer
      Finite groups, vertex operator algebras, and combinatorics
    • Place of Presentation
      数理研、京都大学
    • Year and Date
      2009-01-09
    • Data Source
      KAKENHI-PROJECT-19540040
  • [Presentation] Toy models for D. H. Lehmer's conjecture (joint work with Tsuyohi Miezaki)2009

    • Author(s)
      坂内 英一
    • Organizer
      6^<th> Korea-Japan Workshop on Algebra and Combinatorics
    • Place of Presentation
      Pusan National Univ., Korea
    • Year and Date
      2009-02-10
    • Data Source
      KAKENHI-PROJECT-20540017
  • [Presentation] Toy models of D.H.Lehmer's conjecture2009

    • Author(s)
      E.Bannai
    • Organizer
      Discrete Geometry and Statistics of Configurations, Steklov Institute of Math.
    • Place of Presentation
      Moscow Russia
    • Year and Date
      2009-06-01
    • Data Source
      KAKENHI-PROJECT-19540040
  • [Presentation] Euclidean designs and coherent configurations2009

    • Author(s)
      坂内 英一
    • Organizer
      ISM Symposium : Stochastic Models and Discrete Geometry
    • Place of Presentation
      統数研(ISM, Tokyo )
    • Year and Date
      2009-02-19
    • Data Source
      KAKENHI-PROJECT-20540017
  • [Presentation] Spherical designs and association schemes versus Euclidean designs and coherent configurations2009

    • Author(s)
      坂内英一
    • Organizer
      IPM-International Workshop on Combinatorics 2009
    • Place of Presentation
      IPM, Tehran, Iran
    • Year and Date
      2009-05-16
    • Data Source
      KAKENHI-PROJECT-20540017
  • [Presentation] "Spherical designs in Euclidean designs" and "Spherical designs and toy models of D.H.Lehmer's conjecture in number theory(two 60 minute talks)2009

    • Author(s)
      坂内英一
    • Organizer
      松江セミナー
    • Place of Presentation
      島根大学、松江市
    • Data Source
      KAKENHI-PROJECT-20540017
  • [Presentation] On the late work of D.G. Higman on combinatorics and groups, Finite groups2009

    • Author(s)
      坂内英一
    • Organizer
      vertex operator algebra and combinatorics
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2009-01-09
    • Data Source
      KAKENHI-PROJECT-19540040
  • [Presentation] Spherical designs and toy models of D.H.Lehmer's conjecture in number theory2009

    • Author(s)
      坂内英一
    • Organizer
      近畿大学数学教室談話会
    • Place of Presentation
      近畿大学、東大阪市
    • Year and Date
      2009-10-30
    • Data Source
      KAKENHI-PROJECT-20540017
  • [Presentation] On the late work of D. G. Higman on Combinatorics and groups2009

    • Author(s)
      坂内 英一
    • Organizer
      Finite groups, Vertex operator algebras, and combinatorics
    • Place of Presentation
      RIMS, Kyoto Univ.
    • Year and Date
      2009-01-09
    • Data Source
      KAKENHI-PROJECT-20540017
  • [Presentation] Spherical designs and association schemes versus Euclidean designs and coherent configurations2009

    • Author(s)
      Eiichi Bannai
    • Organizer
      IPM-International Workshop on Combinatorics 2009
    • Place of Presentation
      IPM, Tehran, Iran(60 minutes)
    • Year and Date
      2009-05-16
    • Data Source
      KAKENHI-PROJECT-20540017
  • [Presentation] Assmus-Mattson型の定理について2008

    • Author(s)
      坂内 英一
    • Organizer
      博多数論小研究集会
    • Place of Presentation
      九州大学
    • Year and Date
      2008-02-23
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340010
  • [Presentation]2008

    • Author(s)
      坂内 英一
    • Organizer
      Workshop on Linear and Semidefinite Programming bounds
    • Place of Presentation
      Univ.of Bonn, ドイツ
    • Year and Date
      2008-02-29
    • Data Source
      KAKENHI-PROJECT-16340010
  • [Presentation] Finite subsets on spheres and association schemes2008

    • Author(s)
      坂内 英一
    • Organizer
      6th Shanghai Conference on Combinatorics (6SHCC)
    • Place of Presentation
      Shanghai Jiao Tong University, Shaghai, China
    • Year and Date
      2008-05-24
    • Data Source
      KAKENHI-PROJECT-20540017
  • [Presentation] Assmus-Mattson 型の定理について2008

    • Author(s)
      坂内 英一
    • Organizer
      博多数論小研究集会
    • Place of Presentation
      福岡県
    • Year and Date
      2008-02-23
    • Data Source
      KAKENHI-PROJECT-18340022
  • [Presentation] Invariants of finite groups and modular forms…a survey from a personal viewpoint2008

    • Author(s)
      坂内 英一
    • Organizer
      Codes, Invariants and Modular forms
    • Place of Presentation
      Max-Plank Institute of Mathematics, Univ Bonn, Germany
    • Year and Date
      2008-07-10
    • Data Source
      KAKENHI-PROJECT-20540017
  • [Presentation] Assmus-Mattson型の定理について2008

    • Author(s)
      坂内 英一
    • Organizer
      博多数論小研究集会
    • Place of Presentation
      九州大学,福岡
    • Year and Date
      2008-02-23
    • Data Source
      KAKENHI-PROJECT-16340010
  • [Presentation] Study of Spherical designs and Euclidean designs from the viewpoint of algebraic combinatorics2008

    • Author(s)
      坂内 英一
    • Organizer
      International conference on Differential Equations and Topology dedicatedto Centenial of L. S. Pontryagin
    • Place of Presentation
      Moscow State University
    • Year and Date
      2008-06-18
    • Data Source
      KAKENHI-PROJECT-20540017
  • [Presentation] 球面上の良い有限点集合2008

    • Author(s)
      坂内 英一
    • Organizer
      北海道大学数学教室談話会
    • Place of Presentation
      北海道大学
    • Year and Date
      2008-01-11
    • Data Source
      KAKENHI-PROJECT-18340022
  • [Presentation] Spherical designs and Euclidean designs,-study from the viewpoint of algebraic combinatorics2008

    • Author(s)
      Eiichi Bannai
    • Organizer
      Workshop on Linear and Semidefinite Programming bounds
    • Place of Presentation
      Hausdorff Inst. of Mathematics, Univ.of Bonn
    • Year and Date
      2008-02-29
    • Data Source
      KAKENHI-PROJECT-18340022
  • [Presentation] ユークリッド空間のデザインについて2008

    • Author(s)
      坂内 悦子
    • Organizer
      代数学セミナー
    • Place of Presentation
      九州大学
    • Year and Date
      2008-01-18
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340010
  • [Presentation] ユークリッド空間のデザインその後2008

    • Author(s)
      坂内 悦子
    • Organizer
      ミニ集会「代数的組合せ論」
    • Place of Presentation
      神戸学院大学ポートアイランドキャンパス
    • Year and Date
      2008-03-21
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340010
  • [Presentation] Finite subsets on spheres and association schemes2008

    • Author(s)
      坂内 英一
    • Organizer
      Workshop on Combinatorial geometry and Topology
    • Place of Presentation
      Brownsville, Texas, USA
    • Year and Date
      2008-04-12
    • Data Source
      KAKENHI-PROJECT-20540017
  • [Presentation] Assmus-Mattson型の定理について2008

    • Author(s)
      坂内英一
    • Organizer
      博多数論小研究集会、
    • Place of Presentation
      九州大学
    • Year and Date
      2008-02-23
    • Data Source
      KAKENHI-PROJECT-17204002
  • [Presentation] Spherical designs and Euclidean designs,study from the viewpoint of algebraic combinatorics2008

    • Author(s)
      Eiichi Bannai
    • Organizer
      Workshop on Linear and Semidefinite Programming bounds
    • Place of Presentation
      Hausdorff Inst.of Mathematics,UniV.of Bonn
    • Year and Date
      2008-02-29
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340010
  • [Presentation] 球面上の良い有限点集合2008

    • Author(s)
      坂内 英一
    • Organizer
      北海道大学数学教室談話会
    • Place of Presentation
      北海道大学
    • Year and Date
      2008-01-11
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340010
  • [Presentation] Spherical designs and Euclidean designs, - study from the viewpoint of algebraic combinatorics2008

    • Author(s)
      Eiichi, Bannai
    • Organizer
      Workshop on Linear and Semidefinite Programming bounds, Hausdorff Inst. of Mathematics
    • Place of Presentation
      Univ. of Bonn
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16340010
  • [Presentation] Invariants of finite groups and modular forms-a survey from a personal viewpoint2008

    • Author(s)
      E. Bannai
    • Organizer
      Codes, Invariants and Modular forms
    • Place of Presentation
      Max-Planck Instituteof Mathematics, Germany
    • Year and Date
      2008-07-10
    • Data Source
      KAKENHI-PROJECT-17204002
  • [Presentation] 球面上の良い有限点集合2008

    • Author(s)
      坂内 英一
    • Organizer
      北海道大学数学教室談話会
    • Place of Presentation
      北海道大学,札幌
    • Year and Date
      2008-01-11
    • Data Source
      KAKENHI-PROJECT-16340010
  • [Presentation] Tight designs on sohere and Euclidean spaces2007

    • Author(s)
      Eiichi Bannai
    • Organizer
      AGCT-11
    • Place of Presentation
      Luminy, France
    • Year and Date
      2007-11-06
    • Data Source
      KAKENHI-PROJECT-18340022
  • [Presentation] Cubature formulas in numerical analysis and tight Euclidean designs,2007

    • Author(s)
      Eiichi Bannai
    • Organizer
      CGCS2007,
    • Place of Presentation
      Luminy数学研究所(フランス)
    • Data Source
      KAKENHI-PROJECT-17204002
  • [Presentation] Euclidean designs,cubature formulas,and orthogonal polynomials2007

    • Author(s)
      坂内 英一
    • Organizer
      第24回代数的組合せ論シンポジウム、近畿大学
    • Place of Presentation
      近畿大学
    • Year and Date
      2007-06-28
    • Data Source
      KAKENHI-PROJECT-16340010
  • [Presentation] ユークリッド空間のデザインについて2007

    • Author(s)
      坂内 悦子
    • Organizer
      代数的組合せ論ミニ集会
    • Place of Presentation
      九州大学
    • Year and Date
      2007-03-05
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340010
  • [Presentation] Spherical and Euclidean designs,cubature formulas,and orthogonal polynomials2007

    • Author(s)
      坂内 英一
    • Organizer
      談話会
    • Place of Presentation
      University of Magdeburgドイツ
    • Year and Date
      2007-04-27
    • Data Source
      KAKENHI-PROJECT-16340010
  • [Presentation] Tight designs on sphere and Euclidean spaces2007

    • Author(s)
      坂内 英一
    • Organizer
      AGCY11
    • Place of Presentation
      Luminy, フランス
    • Year and Date
      2007-11-06
    • Data Source
      KAKENHI-PROJECT-16340010
  • [Presentation]2007

    • Author(s)
      坂内 英一
    • Organizer
      International Conference on Algebra and Related Topics, in honor of 80^<th> birthday of Professor Zhexian Wan
    • Place of Presentation
      Tsinghua University, 北京
    • Year and Date
      2007-08-20
    • Data Source
      KAKENHI-PROJECT-16340010
  • [Presentation] ユークリッド空間のtightなデザインの新しい例の構成と分類問題について,2007

    • Author(s)
      坂内英一、坂内悦子、
    • Organizer
      、日本数学会代数学分科会一般講演
    • Place of Presentation
      東北大学、
    • Year and Date
      2007-09-21
    • Data Source
      KAKENHI-PROJECT-17204002
  • [Presentation] Spherical and Euclidean designs2007

    • Author(s)
      Eiichi Bannai
    • Organizer
      cubature formulas, and orthogonal polynomials
    • Place of Presentation
      University of Magdeburg
    • Year and Date
      2007-04-27
    • Data Source
      KAKENHI-PROJECT-18340022
  • [Presentation] Two 50 minute talks(with nospecific title),Aug 23-25,2007(Aug.23 and 25)2007

    • Author(s)
      Eiichi Bannai
    • Organizer
      Workshop on Combinatorics
    • Place of Presentation
      Beijing Normal University
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340010
  • [Presentation] Cubature formulas in numerical analysis and tight Euclidean designs2007

    • Author(s)
      坂内 英一
    • Organizer
      CGCS2007
    • Place of Presentation
      Luminy, フランス
    • Year and Date
      2007-05-02
    • Data Source
      KAKENHI-PROJECT-16340010
  • [Presentation] On Euclidean t-designs2007

    • Author(s)
      Eiichi Bannai and Etsuko Bannai,
    • Organizer
      DMHF 2007
    • Place of Presentation
      Fukuoka, Japan.
    • Data Source
      KAKENHI-PROJECT-17204002
  • [Presentation] Spherical designs and Euclidean designs,a survey2007

    • Author(s)
      坂内 英一
    • Organizer
      ICAC07
    • Place of Presentation
      Beihang University, 北京
    • Year and Date
      2007-07-06
    • Data Source
      KAKENHI-PROJECT-16340010
  • [Presentation] ユークリッド空間の$t$-デザインについて2007

    • Author(s)
      坂内 悦子
    • Organizer
      第19回有限群草津セミナー
    • Place of Presentation
      草津セミナーハウス
    • Year and Date
      2007-08-03
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340010
  • [Presentation] Two 50 minute talks(with no specific title)2007

    • Author(s)
      坂内 英一
    • Organizer
      Workshop on Algebraic Combinatorics
    • Place of Presentation
      Beijing Normal Univ. 北京
    • Data Source
      KAKENHI-PROJECT-16340010
  • [Presentation] Euclidean designs,cubature formulas,and orthogonal polynomials2007

    • Author(s)
      坂内 英一
    • Organizer
      第24回代数的組合せ論シンポジウム
    • Place of Presentation
      近畿大学
    • Year and Date
      2007-05-28
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340010
  • [Presentation] Spherical designs and Euclidean designs,a serve2007

    • Author(s)
      Eiichi Bannai
    • Organizer
      ICACO7
    • Place of Presentation
      Beihang University,Beijing
    • Year and Date
      2007-07-06
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340010
  • [Presentation] Euclidean designs, cubature formulas, and orthogonal polyno mials2007

    • Author(s)
      坂内 英一
    • Organizer
      第24回代数的組合せ論シンポジウム
    • Place of Presentation
      近畿大学
    • Year and Date
      2007-06-28
    • Data Source
      KAKENHI-PROJECT-18340022
  • [Presentation] Spherical and Euclidean designs,cubature formulas,and orthogonal polynomials2007

    • Author(s)
      Eiichi Bannai
    • Organizer
      談話会
    • Place of Presentation
      University of MagdeburgGermany
    • Year and Date
      2007-04-27
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340010
  • [Presentation] ユークリッド空間のデザインについて2007

    • Author(s)
      坂内 悦子
    • Organizer
      第24回代数的組合せ論シンポジウム
    • Place of Presentation
      近畿大学
    • Year and Date
      2007-06-30
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340010
  • [Presentation] Spherical designs and Euclidean designs,a survay2007

    • Author(s)
      Eiichi Bannai
    • Organizer
      Com2Mac Conference on Applications of Group Theory to Combinatorics
    • Place of Presentation
      Pohang,Korea
    • Year and Date
      2007-07-10
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340010
  • [Presentation] Euclidean designs, cubature formulas, and orthogonal polynomials,2007

    • Author(s)
      坂内英一
    • Organizer
      代数的組合せ論シンポジウム
    • Place of Presentation
      近畿大学、
    • Data Source
      KAKENHI-PROJECT-17204002
  • [Presentation] Tight designs on sphere and Euclidean spaces2007

    • Author(s)
      Eiichi Bannai
    • Organizer
      AGCT-11
    • Place of Presentation
      Luminy,France
    • Year and Date
      2007-11-06
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340010
  • [Presentation] Spherical designs and Euclidean designs2007

    • Author(s)
      坂内 悦子
    • Organizer
      Workshop on Algebraic Combinatorics
    • Place of Presentation
      Beijing Normal University 北京
    • Year and Date
      2007-08-25
    • Data Source
      KAKENHI-PROJECT-16340010
  • [Presentation] On Euclidean t-designs2007

    • Author(s)
      Eiichi Bannai and Etsuko Bannai
    • Organizer
      COE Conference on the Development of Dynamic Mathematics with High Funcxionality(DMHF 2007)
    • Place of Presentation
      福岡
    • Year and Date
      2007-10-08
    • Data Source
      KAKENHI-PROJECT-16340010
  • [Presentation] On Euclidean t-designs2007

    • Author(s)
      Eiichi Bannai
    • Organizer
      International Conference on Algebra and Related Topics, in honor of 80th birthday of Professor Zhexian Wan
    • Place of Presentation
      Tsinghua University,Beijing
    • Year and Date
      2007-08-20
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340010
  • [Presentation] ユークリッド空間のtightなデザインの新しい例の構成と分類問題について2007

    • Author(s)
      坂内 英一, 坂内 悦子
    • Organizer
      日本数学会代数学分科会一般講演
    • Place of Presentation
      東北大学
    • Year and Date
      2007-09-21
    • Data Source
      KAKENHI-PROJECT-18340022
  • [Presentation] Spherical designs and Euclidean designs2007

    • Author(s)
      Eiichi Bannai
    • Organizer
      a survey, ICAC07
    • Place of Presentation
      Beihang University, Beiging
    • Year and Date
      2007-07-06
    • Data Source
      KAKENHI-PROJECT-18340022
  • [Presentation] Cubature formulas in numerical analysis and tight Euclidean designs2007

    • Author(s)
      Eiichi Bannai
    • Organizer
      CGCS2007
    • Place of Presentation
      Luminy,France
    • Year and Date
      2007-05-02
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340010
  • [Presentation] On Euclidean t-designs2007

    • Author(s)
      Eiichi Bannai
    • Organizer
      International Conference on Algebra and Related Topics, in honor of 80th birthda of Professor Zhexian Wan
    • Place of Presentation
      Tsinghua University, Beijing
    • Year and Date
      2007-08-20
    • Data Source
      KAKENHI-PROJECT-18340022
  • [Presentation] Spherical designs and Euclidean designs,a survey2007

    • Author(s)
      坂内 英一
    • Organizer
      Com2Mac Conference on Applications of Group Theory to Combinatorics
    • Place of Presentation
      Pohang, 韓国
    • Year and Date
      2007-07-10
    • Data Source
      KAKENHI-PROJECT-16340010
  • [Presentation] More about Euclidean designs2007

    • Author(s)
      坂内 悦子
    • Organizer
      有限群論と代数的組合せ論
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2007-12-19
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340010
  • [Presentation] Euclidean tight designs2007

    • Author(s)
      坂内 悦子
    • Organizer
      談話会
    • Place of Presentation
      Magdeburg大学, ドイツ
    • Year and Date
      2007-04-27
    • Data Source
      KAKENHI-PROJECT-16340010
  • [Presentation] Euclidean tight designs2007

    • Author(s)
      坂内 悦子
    • Organizer
      CGCS2007
    • Place of Presentation
      Luminy, フランス
    • Year and Date
      2007-05-02
    • Data Source
      KAKENHI-PROJECT-16340010
  • [Presentation] Euclidean tight designs2007

    • Author(s)
      Etsuko Bannai
    • Organizer
      談話会
    • Place of Presentation
      Magdeburg 大学,ドイツ
    • Year and Date
      2007-04-27
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340010
  • [Presentation] Spherical designs and Euclidean designs, a survey,2007

    • Author(s)
      Eiichi Bannai
    • Organizer
      Com2Mac Conference on Applications of Group Theory to Combinatorics,
    • Place of Presentation
      Pohang, Korea,
    • Data Source
      KAKENHI-PROJECT-17204002
  • [Presentation] On Euclidean t-designs2007

    • Author(s)
      Eiichi Bannai(with Etsuko Bannai)
    • Organizer
      COE Conference on the Development of Dynamic Mathematics with High Functionality (DMHF 2007)in Fukuoka
    • Place of Presentation
      Fukuoka
    • Year and Date
      2007-10-03
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340010
  • [Presentation] Cubature formulas in numerical analysis and tight Euclidean designs2007

    • Author(s)
      Eiichi Bannai
    • Organizer
      CGCS2007
    • Place of Presentation
      Luminy, France
    • Year and Date
      2007-05-02
    • Data Source
      KAKENHI-PROJECT-18340022
  • [Presentation] Euclidean $t$-designs2007

    • Author(s)
      Etsuko Bannai
    • Organizer
      AMS Sectional Meeting Program by Special Session Algebraic Combinatorics:Association and Related Topics
    • Place of Presentation
      DePaul University.(Loop Campus)
    • Year and Date
      2007-10-05
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340010
  • [Presentation] ユークリッド空間の$t$・デザインについて2007

    • Author(s)
      坂内 悦子
    • Organizer
      第19回有限群草津セミナー
    • Place of Presentation
      草津セミナーハウス
    • Year and Date
      2007-08-03
    • Data Source
      KAKENHI-PROJECT-16340010
  • [Presentation] ユークリッド空間のtightなデザインの新しい例の構成と分類問題について2007

    • Author(s)
      坂内 英一(坂内悦子と連名)
    • Organizer
      日本数学会代数学分科会一般講演
    • Place of Presentation
      東北大学, 仙台
    • Data Source
      KAKENHI-PROJECT-16340010
  • [Presentation] Spherical designs and Euclidean designs2007

    • Author(s)
      Etsuko Bannai
    • Organizer
      Workshop on AIgebraic Combinatorics
    • Place of Presentation
      Beijing Normal University(北京師範大学)
    • Year and Date
      2007-08-25
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340010
  • [Presentation] Cubature formulas in numerical analysis and tight Euclidean designs2007

    • Author(s)
      Eiichi Bannai
    • Organizer
      Mini-workshop in combinatorics
    • Place of Presentation
      Postech,Pohang,Korea
    • Year and Date
      2007-02-12
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340010
  • [Presentation] Euclidean t-designs2007

    • Author(s)
      Etsuko, Bannai
    • Organizer
      AMS Sectional Meeting Special session on Algebraic Combinatorics : Association Schemes and Related Topics
    • Place of Presentation
      DePaul University(Chicago)
    • Year and Date
      2007-10-05
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16340010
  • [Presentation] Euclidean tight designs2007

    • Author(s)
      Etsuko Bannai
    • Organizer
      CGCS2007
    • Place of Presentation
      Luminy,フランス
    • Year and Date
      2007-05-02
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340010
  • [Presentation] On Euclidean t-designs2007

    • Author(s)
      Eiichi Bannai and Etsuko Bannai
    • Organizer
      COE Conference on the Development of Dynamic Mathematics with High Functionality(DMHF)
    • Place of Presentation
      Fukuoka, Japan
    • Year and Date
      2007-10-03
    • Data Source
      KAKENHI-PROJECT-18340022
  • [Presentation] Spherical designs and Euclidean designs, a survey2007

    • Author(s)
      Eiichi Bannai
    • Organizer
      Com2Mac Conference on Applications of Group Theory to Combinatorics
    • Place of Presentation
      Pohang, Korea
    • Year and Date
      2007-07-10
    • Data Source
      KAKENHI-PROJECT-18340022
  • [Presentation] Spherical designs and Euclidean designs, a survey,2007

    • Author(s)
      Eiichi Bannai
    • Organizer
      ICAC07
    • Place of Presentation
      Beihang Univ., Beijing,
    • Data Source
      KAKENHI-PROJECT-17204002
  • [Presentation] Two 50 minute talks (with no soecific title)2007

    • Author(s)
      Eiichi Bannai
    • Organizer
      Workshop on Combinatorics
    • Place of Presentation
      Beijing Normal University
    • Data Source
      KAKENHI-PROJECT-18340022
  • [Presentation] Tight designs on sphere and Euclidean spaces,2007

    • Author(s)
      Eiichi Bannai,
    • Organizer
      AGCT-11
    • Place of Presentation
      Luminy,数学研究所(フランス),
    • Data Source
      KAKENHI-PROJECT-17204002
  • [Presentation] ユークリッド空間のtightなデザインの新しい例の構成と分類問題について(坂内悦子と連名)2007

    • Author(s)
      坂内 英一
    • Organizer
      日本数学会代数学分科会一般講演
    • Place of Presentation
      東北大学
    • Year and Date
      2007-09-21
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340010
  • [Presentation] Algebraic Combinatorics as a Pure Mathematics2007

    • Author(s)
      Eiichi, Bannai
    • Organizer
      Special Lecture, Spring Meeting of Math. Soc.
    • Place of Presentation
      Japan , Saitama University
    • Year and Date
      2007-03-29
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16340010
  • [Presentation] Cubature formulas in numerical analysis and tight Euclidean2007

    • Author(s)
      Eiichi Bannai
    • Organizer
      ISM Workshop:Stochastic Models and Discrete Geometry
    • Place of Presentation
      統計数理砧究所,東京
    • Year and Date
      2007-02-26
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340010
  • [Presentation] 純粋数学としての組合せ論2007

    • Author(s)
      坂内 英一
    • Organizer
      日本数学会代数的分科会特別講演
    • Place of Presentation
      埼玉大学
    • Year and Date
      2007-03-29
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340010
  • [Presentation] New examples of Euclidean tight 4-designs2006

    • Author(s)
      坂内 悦子
    • Organizer
      代数的組合せ論ミニ集会
    • Place of Presentation
      九州大学
    • Year and Date
      2006-03-05
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340010
  • [Presentation] Sphere packings and association schemes,I,II2006

    • Author(s)
      Eiichi Bannai
    • Organizer
      Gr\"{o}bner basis in Cryptography, Coding Theory, and Algebraic Combinatorics
    • Place of Presentation
      RICAM,Linz,Austria
    • Year and Date
      2006-05-06
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340010
  • [Presentation] On the zeros of Hecke type Faber polynomials (with Koji Kojima and Tsuyoshi Miezaki)2006

    • Author(s)
      Eiichi Bannai
    • Organizer
      An International Conference on Algebraic Comninatorics
    • Place of Presentation
      Sendai
    • Year and Date
      2006-06-29
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340010
  • [Presentation] Sphere Packings,Lattices,Groups,and Association schemes2006

    • Author(s)
      坂内 英一
    • Organizer
      第51回代数学シンポジウム
    • Place of Presentation
      東京大学駒場
    • Year and Date
      2006-08-05
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340010
  • [Presentation] On Euclidean tight designs2006

    • Author(s)
      Etsuko Bannai
    • Organizer
      ISM Symposium Packing and Random Packing
    • Place of Presentation
      統計数理研
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340010
  • [Presentation] Associations chemes and sphere packings July 3-9,2006 (July 6 )2006

    • Author(s)
      Eiichi Bannai
    • Organizer
      Workshop on Discrete Geometry and Lattices, tocelebrate Professor Peter Gruber's 65 thbirthday
    • Place of Presentation
      Beijing,China
    • Year and Date
      2006-07-06
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340010
  • [Presentation] On Euclidean tight 4-designs2006

    • Author(s)
      坂内 悦子
    • Organizer
      Japan-Korea Workshop on Algebra and Combinatorics
    • Place of Presentation
      九州大学
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340010
  • [Presentation] On the zeros of Hecke polynomials,June 19-22,2006(june 21)2006

    • Author(s)
      Eiichi Bannai
    • Organizer
      KTAS Number Theory Conference
    • Place of Presentation
      KIAS,Seoul,Korea
    • Year and Date
      2006-06-21
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340010
  • [Presentation] Sphere packings and association schemes (plenary talk)2006

    • Author(s)
      Eiichi Bannai
    • Organizer
      Algebra and Combinatorics
    • Place of Presentation
      AteneodeManilaUniversity,Philippines
    • Year and Date
      2006-03-31
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340010
  • [Presentation] On the zeros of Hecke polynomials2006

    • Author(s)
      Eiichi Bannai
    • Organizer
      Conference on Groups, VOAs, and Related Structures, in Honor of Koichiro Harada
    • Place of Presentation
      The Ohio State University アメリカ
    • Year and Date
      2006-06-12
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340010
  • [Presentation] Two remarks on pseudo-cyclic association schemes2006

    • Author(s)
      Eiichi Bannai
    • Organizer
      Workshop on Algebra and Combinatorics, Japan-Korea
    • Place of Presentation
      Kyushu University
    • Year and Date
      2006-10-21
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340010
  • [Presentation] On some remarks on pseudo-cyclic association schemes2006

    • Author(s)
      坂内 英一
    • Organizer
      数理研研究集会「群論とその周辺」
    • Place of Presentation
      京大会館
    • Year and Date
      2006-12-21
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340010
  • [Presentation] On the zeros of Hecke type I Faber polynomials2006

    • Author(s)
      Eiichi, Bannai, K., Kojima, T., Miezaki
    • Organizer
      An Interhational Conference on Algebraic Comninatorics
    • Place of Presentation
      Sendai
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16340010
  • [Presentation] Association schemes and sphere packings2006

    • Author(s)
      Eiichi Bannai
    • Organizer
      The 16th Algebraic Combinatorics Seminar
    • Place of Presentation
      Yeungnam University,Korea
    • Year and Date
      2006-11-25
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340010
  • [Presentation] Spherical designs attached to extremal lattices and some related problems of modular forms2005

    • Author(s)
      Eiichi Bannai
    • Organizer
      Fifth Shanghai Conference on Combinatorics
    • Place of Presentation
      Shanghai,中国
    • Year and Date
      2005-05-18
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340010
  • [Presentation] On antipodal Euclidean tight 5-designs2005

    • Author(s)
      坂内 悦子
    • Organizer
      日本数学会一般講演
    • Place of Presentation
      日本大学
    • Year and Date
      2005-03-27
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340010
  • [Presentation] On Euclidean designs2005

    • Author(s)
      Etsuko Bannai
    • Organizer
      AMS Fall Central Section Meeting (Oct.21-23, 2005)Special Session on Association Schemes and Related Topics
    • Place of Presentation
      University of Nebraska in Lincoln
    • Year and Date
      2005-10-21
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340010
  • [Presentation] On Antipodal Euclidean Tight $(2e+1)$-Designs2005

    • Author(s)
      Etsuko Bannai
    • Organizer
      Fifth Shanghai Conference on Combinatorics
    • Place of Presentation
      Shanghai Jiao Tong University,China
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340010
  • [Presentation] Hecke 多項式の零点について(小島洗二、三枝崎剛と連名)2005

    • Author(s)
      坂内 英一
    • Organizer
      第6回「代数学と計算」研究集会(AC2005)
    • Place of Presentation
      首都大学東京
    • Year and Date
      2005-11-15
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340010
  • [Presentation] Spherical designs,extremal lattices and the Fourier coefficients modulo$p$ of the extremal modular forms2005

    • Author(s)
      Eiichi Bannai
    • Organizer
      Oberwolfach meeting, Gitter und Anwendungen
    • Place of Presentation
      Oberwolfach,ドイツ
    • Year and Date
      2005-01-03
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340010
  • [Presentation] On antipodal Euclidean tight $(2e+1)$-designsJune 27-29,20052005

    • Author(s)
      坂内 悦子
    • Organizer
      第22回代数的組合せ論シンポジウム
    • Place of Presentation
      愛媛大学
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340010
  • [Presentation] A note on spherical embeddings of strongly regular graphs(坂内悦子と連名)2005

    • Author(s)
      坂内 英一
    • Organizer
      Japan Workshop on Graph Theory and Combinatorics
    • Place of Presentation
      慶応大学
    • Year and Date
      2005-06-22
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340010
  • [Presentation] A note on integral Euclidean lattices of dimension 32005

    • Author(s)
      坂内 英一
    • Organizer
      第22回代数的組合せ論研究集会
    • Place of Presentation
      愛媛大学
    • Year and Date
      2005-06-27
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340010
  • [Presentation] Hecke 多項式の零点について(小島洗二、三枝崎剛と連名)2005

    • Author(s)
      坂内 英一
    • Organizer
      研究集会「有限群とその周辺」
    • Place of Presentation
      熊本大学
    • Year and Date
      2005-11-01
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340010
  • [Presentation] Spherical designs attached to extremal lattices and some related problems of modular forms2005

    • Author(s)
      Eiichi, Bannai
    • Organizer
      Fifth Shanghai Conference on Combinatorics
    • Place of Presentation
      Shanghai
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16340010
  • [Presentation] Spherical designs (asurvey)2005

    • Author(s)
      坂内 英一
    • Organizer
      研究集会群とリー環
    • Place of Presentation
      上智大学
    • Year and Date
      2005-03-10
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340010
  • [Presentation] On antipodal Euclidean tight 5-designs2005

    • Author(s)
      坂内 悦子
    • Organizer
      代数的組合せ論ミニ集会
    • Place of Presentation
      九州大学
    • Year and Date
      2005-03-07
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340010
  • [Presentation] 2-距離集合におけるLarman-Rogers-Seidelの定理についての考察2004

    • Author(s)
      坂内 悦子
    • Organizer
      代数的組合せ論研究集会
    • Place of Presentation
      京都大学数理研
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340010
  • [Presentation] On Euclidean tight 4-designs2004

    • Author(s)
      Etsuko Bannai
    • Organizer
      Workshop on spherical designs
    • Place of Presentation
      University of Geneva
    • Year and Date
      2004-05-19
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340010
  • [Presentation] Various kinds of tight designs and their existence problems, (plenary talk)2004

    • Author(s)
      Eiichi, Bannai
    • Organizer
      Com2Mac Conference on Association schemes, codes and designs, Busan, Korea
    • Place of Presentation
      Busan, Korea
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16340010
  • [Presentation] Various kinds of tight designs and their existence problems (plenary talk)2004

    • Author(s)
      Eiichi Bannai
    • Organizer
      Com2Mac Conference on Association schemes, codes and designs
    • Place of Presentation
      Busan,Korea
    • Year and Date
      2004-07-19
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340010
  • [Presentation] 球の詰め込み問題についての最近の進展2004

    • Author(s)
      坂内 英一
    • Organizer
      九州大学公開講座「現代数学入門」(2 two hour talks
    • Place of Presentation
      九州大学
    • Year and Date
      2004-08-08
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340010
  • [Presentation] On Gaussian designs2004

    • Author(s)
      坂内 英一
    • Place of Presentation
      University of Geneva
    • Year and Date
      2004-05-10
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340010
  • [Presentation] A survey on spherical designs,(60 minutes)2004

    • Author(s)
      Eiichi Bannai
    • Organizer
      Workshop on Distance-regular graphs and finite geometry
    • Place of Presentation
      Busan,Korea
    • Year and Date
      2004-07-24
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340010
  • [Presentation] No special title(plenary talk,90 minutes)2004

    • Author(s)
      Eiichi Bannai
    • Organizer
      Workshop on Open Problems in Association Schemes
    • Place of Presentation
      Busan,Korea
    • Year and Date
      2004-07-17
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340010
  • [Presentation] Extremal latticesに付随する球面デザインと extremal modular formsのFourier係数のmodulo pの性質について(小池正夫、篠原雅史、田上真との共同研究)2004

    • Author(s)
      坂内 英一
    • Organizer
      京大数理研研究集会「代数的組合せ論」
    • Place of Presentation
      京都大学
    • Year and Date
      2004-12-13
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340010
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