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BANNAI Etsuko  坂内 悦子

ORCIDConnect your ORCID iD *help
Researcher Number 00253394
Other IDs
Affiliation (based on the past Project Information) *help 2007: Kyushu University, Faculty of Mathematics, Associate Professor
2006: 九州大学, 大学院数理学研究院, 助教授
2000 – 2005: Kyushu U.Facuety of Math, Assoc.Prof., 大学院・数理学研究院, 助教授
2001: Kyushu Univ., Graduate School of Math., Assoc. Professor, 大学院・数理研究院, 助教授
1998 – 1999: 九州大学, 大学院・数理学研究科, 助教授 … More
1998: 九州大学, 大学院数理学研究科, 助教授
1994 – 1996: 九州大学, 大学院・数理学研究科, 助教授
1994: 九州大学, 大学院数理学研究科, 助教授
1993: 九州大学, 理学部, 講師 Less
Review Section/Research Field
Principal Investigator
Algebra / Geometry
Except Principal Investigator
Algebra / Geometry / General mathematics (including Probability theory/Statistical mathematics) / Algebra
Keywords
Principal Investigator
モジュラー不変性 / スピンモデル / 4-weight spin models / modular invariance / s-distance sets / type II matrices / Bose-Mesnsr algebra / designs / Association Schemes / Spin model … More / 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 / アソシエーションスキーム / 有限アーベル群 / 双対性 / アソシエ-シエンスキーム … More
Except Principal Investigator
スピンモデル / spherical design / code / コード / アソシエーションスキーム / 代数的組合せ論 / 格子 / modular form / モジュラー形式 / 球面デザイン / algebraic combinatorics / coherent configuration / lattice / design / association scheme / デザイン / 距離正則グラフ / spin model / 保型形式 / 有限群の不変式環 / 有限体 / 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 / 指標表 / グラスマン空間 / tight design / kissing number / ラマンジャングラフ / アソシエーションスチーム / 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 / 自己双対符号 / 代数的符号 / codes over finite alrelian group / finite ring / associationscheme / Algebraic combinatorics / Type IIコード / Terwilliger代数 / 2次形式 / modular invariant / 有限アーベル群上のコード / 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 / 正多面体 / 重さ枚挙多項式 / isometry group / singular set / Hausdorff convergence / Singular space / Gromov imariant / Alexandrov space / 凸超曲面 / 等長変換群 / 収束理論 / 特長変換集合 / 特異点集合 / ハウスドルフ収束 / 特異空間 / グロモフ不変量 / アレクサンドロフ空間 / 交代形式 / 有限群 / アソシエーション・スキーム / チェビシェフ近似問題 / アレキサンドロフ空間 / モジュラー不変性 / アソシェーションスキーム / トンネル数 / 連結和 / 結び目 / スプライン関数 / ルジャンドル条件 / 数値的検証法 / 非線形楕円型方程式 / 最良近似問題 / 最適制御問題 / 変分問題 / 非線形計画法 Less
  • Research Projects

    (11 results)
  • Research Products

    (135 results)
  • Co-Researchers

    (28 People)
  •  Synthetic study of algebraic combinatorics

    • 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
  •  Comprehensive study on Algebraic Combinatorics

    • 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
  •  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
  •  Association schemes and spin modelsPrincipal Investigator

    • 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
  •  A collective study of algebraic combinatorics

    • 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
  •  有限体上の交代形式の幾何学的研究

    • Principal Investigator
      宗政 昭弘
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Kyushu University
  •  Research on association schemes and related topics

    • 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
  •  トポロジーとその関連分野の研究

    • Principal Investigator
      KATO Mitsuyoshi
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Geometry
    • 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

    • Principal Investigator
      坂内 悦子
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Kyushu University
  •  Convergence Theory for Alexandrov Spaces

    • Principal Investigator
      YAMAGUCHI Takao
    • Project Period (FY)
      1994 – 1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      KYUSHU UNIVERSITY
  •  非線形最適化の基礎理論とその応用

    • Principal Investigator
      川崎 英文
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Kyushu University

All 2008 2007 2006 2005 2004 2003 2001 Other

All Journal Article Presentation

  • [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)
      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] 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] 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] 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 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-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 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] 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 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] 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] 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)
      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)
      坂内 英一, 坂内 悦子
    • Journal Title

      Europ. J. Combinatorics 27

      Pages: 179-192

    • 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

    • 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] 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] 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] 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] 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] 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 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] 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)
      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] 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 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+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] 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] 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] 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] 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] 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 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] 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
  • [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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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 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
  • 1.  MUNEMASA Akihiro (50219862)
    # of Collaborated Projects: 8 results
    # of Collaborated Products: 10 results
  • 2.  BANNAI Eiichi (10011652)
    # of Collaborated Projects: 7 results
    # of Collaborated Products: 135 results
  • 3.  KOIKE Masao (20022733)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 5 results
  • 4.  山田 美枝子 (70130226)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 5.  SUZUKI Hiroshu (10135767)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 6.  KATO Mitsuyoshi (60012481)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 7.  ITO Tatsuro (90015909)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 8.  横田 佳之 (40240197)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 9.  SHIOYA Takashi (90235507)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 10.  HARADA Masaaki (90292408)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 1 results
  • 11.  川崎 英文 (90161306)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 12.  小関 道夫 (90087073)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 13.  YAMAGUCHI Takao (00182444)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 14.  TANAKA Shunichi (00028127)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 15.  SHIOHAMA Katsuhiro (20016059)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 16.  CHOU Kanchi (10197634)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 17.  SATOU Hiroshi (30037254)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 18.  SHIRATANI Katsumi (80037168)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 19.  YAMAHI Hiroyoski (60028199)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 20.  NOMURA Kazumasa (40111645)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 21.  URAKAWA Hajime (50022679)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 22.  HIRAKI Akira (90294181)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 23.  山本 野人 (30210545)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 24.  末吉 豊 (80128040)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 25.  中尾 充宏 (10136418)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 26.  高田 敏恵 (40253398)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 27.  関根 嘉浩 (30243885)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 28.  吉田 知行 (30002265)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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