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HASHIMOTO Kiichiro  橋本 喜一朗

ORCIDConnect your ORCID iD *help
… Alternative Names

橋本 喜一朗  ハシモト キイチロウ

橋本 喜一郎  ハシモト キイチロウ

橋本 喜一両朗  ハシモト キイチロウ

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Researcher Number 90143370
Other IDs
External Links
Affiliation (Current) 2025: 早稲田大学, 理工学術院, 名誉教授
Affiliation (based on the past Project Information) *help 2004 – 2009: 早稲田大学, 理工学術院, 教授
1995 – 2004: 早稲田大学, 理工学部, 教授
2000: 早稻田大学, 理工学部, 教授
1991 – 1993: 早稲田大学, 理工学部, 教授
1989 – 1991: 早稲田大学, 理工学部, 助教授
1986: 早稲田大学, 理工学部, 助教授
Review Section/Research Field
Principal Investigator
Algebra / Algebra / 代数学・幾何学
Except Principal Investigator
Algebra / General mathematics (including Probability theory/Statistical mathematics) / 解析学 / Algebra / Geometry / 代数学・幾何学
Keywords
Principal Investigator
保型形式 / ガロア群 / ヤコビ多様体 / モジュラー曲線 / 巡回多項式 / ガウス周期 / 代数曲線 / ガロアの逆問題 / ガロア理論 / Q-curve … More / 谷山-志村予想 / 楕円曲線 / theta級数 / 四元数環 / Hecke環 / Gaussian Periods / Meta abelian Group / Cyclic Polynomial / Noether's Problem / Generic Polynomial / Inverse Galois Problems / Galois Group / Galois Theory / Generic Polynomials / Stable derivarion algebra / Abelian surface / Modular forms / Z_p extension / Inverse Galois problem / Generic polynomials / Galois theory / メタアーベル群 / ネーターの問題 / 生成的多項式 / ガロア逆問題 / cycle extension / period equation / Galois group / Lehmer project / cyclic polynomial / Gaussian period / Inverse Galois Problem / abelian equations / Kummer拡大 / ガウス和 / ヤコビ和 / cyclotomic numbers / アーベル方程式 / 巡回方程式 / 巡回拡大 / 周期方程式 / Lehmerプロジェクト / アーベール方程式 / Q-curves / algebraic curvers / abelian varieties / modular forms / jacobian variety / Taniyama-Simura Conjecture / modular curves / elliptic curves / テータ級数 / Q-曲線 / アーベル曲面 / modularity / アーベル多様体 / モジュラー形式 / 不変式 / 生成多項式 / 有理関数体 / クレモナ変換群 / ネーター問題 / QM-curve / 超楕円曲線 / 次元公式 / theta 級数 / Type Number / 代数群 / L-関数 / Eichler order / Brandt行列 / 有限グラフ / 線型代表群 / ゼ-タ関数 / P-進離散群 / Selbergの跡公式 / 類数 / エルミ-ト形式 / ユニタリ-群 … More
Except Principal Investigator
ray class field / Jacobian variety / Siegel modular function / unit / 単数 / Greenberg予想 / 単数群 / Minkowski units / アーベル多様体 / 頂点作用素代数 / λ-invariant / abelian variety / theta function / 虚数乗法 / ラムダ不変量 / 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 / 特異点論 / クラスファイル / 情報発信 / 未解決問題 / 幾何解析 / 微分幾何学 / 電子ジャーナル / デジタル出版 / 未踏数学 / ASPM / elliptic curve / Birch-Swinnerton-Dyer conjecture / abelian extension / Kroneckerの極限公式 / 類数 / L-関数 / Siegel modular関数 / 楕円曲線 / Birch-Swinnerton-Dyer予想 / アーベル拡大 / 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 / テータ関数 / 共形場の理論 / コード理論 / 微分方程式 / エータ関数 / 志村対応 / 微分作用素 / ゼータ関数 / L関数 / 組合せ論 / 概均質ベクトル空間 / 2次形式 / 整数論 / 保型形式 / ゼータ函数 / GREENBERG CONJECTURE / HYPERGEOMETRIC POLYNOMIALS / ARITHMETIC TRIANGULAR GROUPS / SPACE OF MODULI / NOETHER PROBLEM / GENERIC FAMILY OF POLYNOMIALS / DIHEDRAL EXTENSIONS / INVERSE PROBLEM OF GALOIS / グロタンディーク・タイヒミュラー群 / 組紐群 / 近藤予想 / 類数問題 / 3次体 / 2次体 / ダイヘドラル拡大 / Scholz予想 / モンスター単純群 / 素数グラフ / Dutta重複度 / l進多重対数函数 / 二面体群 / ハセの問題 / generic polynomial / 三面体拡大 / 超幾何多項式 / 算術的三角群 / モジュライ空間 / ネター問題 / 生成的多項式族 / 二面体拡大 / ガロアの逆問題 / normal bases / a Jacobian variety / a Siegel modula function / a ray class field / Z_P-拡大 / ヤコーヒー多様体 / 志村の相互法則 / 正規底 / ヤコービ多様体 / ray class Field / Minkowshi units / Galois representation / GLィイD22ィエD2-type / Abelian variety / Moduli / Modularity Conjecture / QM-curue / (1)-curve / モジュラリティ / モジュラー予想 / ガロア表現 / GL_2型 / モジュライ / モジュラリティ予想 / 誤差解析 / 展開係数毎評価 / 超収集 / adaptiveな数値計算法 / 非線形微分方程式 / E-scheme / 特異摂動問題 / 2次漸近有効性 / ブート・ストラップ法 / 高次漸近危険十分性 / 高次漸近十分統計量 / 有限グラフ / Piras作用素 / 中心拡大代数 / 量子群上のスペクトル解析 / 完全Z対象R行列 / 可約Verma加群 / Virasono代数 / 表現論 / フォック空間 / 指数定理 / 球函数 / qー類似 / 無限次グラスマニアン / 固有値問題 / スピノ-ル / アルチン / 高木貞治 / 相互法則 / 類体論 / ブ-トストラップ法 / 実験の比較 / 情報幾何学 / 確率解析 / デフィシャンシイ / 漸近有効性 / 漸近十分性 Less
  • Research Projects

    (21 results)
  • Research Products

    (48 results)
  • Co-Researchers

    (52 People)
  •  Noether's Problem for Cremona Groups over algebraic number fields and its application to Number theoryPrincipal Investigator

    • Principal Investigator
      HASHIMOTO Kiichiro
    • Project Period (FY)
      2007 – 2009
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Waseda University
  •  Special values of Siegel modular functions and Jacobian variety

    • Principal Investigator
      KOMATSU Keiichi
    • Project Period (FY)
      2004 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Waseda 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
  •  Construction of Generic Polynomials in Galois Theory and application to Number TheoryPrincipal Investigator

    • Principal Investigator
      HASHIMOTO Kiichiro
    • Project Period (FY)
      2003 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Waseda 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
  •  Units groups generated by special values of Siegel modular functions

    • Principal Investigator
      KOMATSU Keiichi
    • Project Period (FY)
      2001 – 2003
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Waseda University
  •  Construction of abelian equations and study of Gaussian sumsPrincipal Investigator

    • Principal Investigator
      HASHIMOTO Kiichiro
    • Project Period (FY)
      2000 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Waseda University
  •  THE INVERSE PROBLEM OF GALOIS AND ITS APPLICATION TO NUMBER THEORY

    • Principal Investigator
      MIYAKE Katsuya
    • Project Period (FY)
      1999 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      TOKYO METROPOLITAN UNIVERSITY
  •  Construction of normal bases by special values of modular functions

    • Principal Investigator
      KOMATSU Keiichi
    • Project Period (FY)
      1998 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Waseda University
  •  Modular Conjecture

    • Principal Investigator
      MOMOSE Fumiyuki
    • Project Period (FY)
      1997 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Chuo University
  •  Research on the arithmetic of algebraic curves and jacobian varietiesPrincipal Investigator

    • Principal Investigator
      HASHIMOTO Kiichiro
    • Project Period (FY)
      1997 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Waseda University
  •  四元数theta級数とモジュラー曲線のヤコビ多様体の数論研究Principal Investigator

    • Principal Investigator
      橋本 喜一朗
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Waseda University
  •  P-進代数群の離散群とHecke環の表現の研究Principal Investigator

    • Principal Investigator
      橋本 喜一郎
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Waseda University
  •  P-進代数群の離散群とHecke環の表現の研究Principal Investigator

    • Principal Investigator
      橋本 喜一朗
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Waseda University
  •  単項化定理と関連する諸題目の研究

    • Principal Investigator
      足立 恒雄
    • Project Period (FY)
      1991
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Waseda University
  •  場の理論の数学

    • Principal Investigator
      郡 敏昭
    • Project Period (FY)
      1991
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Waseda University
  •  無限次元リー群およびリー環の表現とその応用

    • Principal Investigator
      清水 義之
    • Project Period (FY)
      1991 – 1992
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Waseda University
  •  統計的漸近理論の研究

    • Principal Investigator
      鈴木 武
    • Project Period (FY)
      1990
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Waseda University
  •  代数群上の保型函数論とP-進離散群の研究Principal Investigator

    • Principal Investigator
      橋本 喜一朗
    • Project Period (FY)
      1989
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Waseda University
  •  統計的漸近理論の研究

    • Principal Investigator
      鈴木 武
    • Project Period (FY)
      1986 – 1987
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Waseda University
  •  各種微分方程式の数理解析的研究

    • Principal Investigator
      室谷 義昭
    • Project Period (FY)
      1986 – 1987
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Waseda University

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

All Journal Article Presentation Book

  • [Book] RIMS Kokyuroku Bessatsu B42008

    • Author(s)
      Kiichiro Hashimoto, Yoshiyuki Nakajima, Hiroshi Tsunogai (Ed.)
    • Total Pages
      247
    • Publisher
      数理解析研究所
    • Data Source
      KAKENHI-PROJECT-19340011
  • [Book] Galois Theory and Modular Forms2003

    • Author(s)
      K.Hashimoto, H.Nakamura
    • Total Pages
      393
    • Publisher
      DEVM, Kluwer Acad.Publ 11
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-13304002
  • [Journal Article] Jacobstahl Sum for Q\sqrt{-2}2011

    • Author(s)
      Kiichiro Hashimoto, Ling Long, Yifang Yang
    • Journal Title

      Forum Mathto appear (to appear)

    • Data Source
      KAKENHI-PROJECT-19340011
  • [Journal Article] Poncelet's theorem and versal family of curves of genus two with \sqrt{2]}-multiplication2009

    • Author(s)
      kiichiro Hashimoto
    • Journal Title

      RIMS Kokyuroku Bessatsu B12

      Pages: 249-261

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340011
  • [Journal Article] General form of Humbert's modular equation for curves with real multiplication of D=52009

    • Author(s)
      Kiichiro Hashimoto
    • Journal Title

      Proceedings of the Japan Academy, Series A 85, no.10

      Pages: 171-176

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340011
  • [Journal Article] General form of Humbert's modular equation for curves with real multiplication of D=52009

    • Author(s)
      Kiichiro Hashimoto, Yukiko Sakai
    • Journal Title

      Proceedings of the Japan Academy Series A 85, no.10

      Pages: 171-176

    • Data Source
      KAKENHI-PROJECT-19340011
  • [Journal Article] Poncelet's theorem and versal family of curves of genus two with $\sqrt{2}$ multi plication2009

    • Author(s)
      Kiichiro Hashimoto, Yukiko Sakai
    • Journal Title

      RIMS Kokyuroku Bessatsu B 12

      Pages: 249-261

    • Data Source
      KAKENHI-PROJECT-19340011
  • [Journal Article] Noether's problem and Q-generic polymials for the normalizer the 8-cycle in s_8 and its subgroups2008

    • Author(s)
      Kiichiro Hashimoto, Akinari Hoshi, Yuichi Rikuna
    • Journal Title

      Mathematics of Computation 77

      Pages: 1153-1183

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340011
  • [Journal Article] Noether's problem and Q-generic polynomials for the normalizer of the 8-cycle in S_8 and its subgroups2008

    • Author(s)
      Kiichiro Hashimoto,Akinari Hoshi, Yuichi Rikuna
    • Journal Title

      Math. Comp. 77

      Pages: 1153-1183

    • Data Source
      KAKENHI-PROJECT-19340011
  • [Journal Article] Noether's problem and Q-generic polynomials for the normalizer of the 8-cycle in S_8 and its subgroups2008

    • Author(s)
      Ki-ichiro Hashimoto, Akinari Hoshi, Yuichi Rikuna
    • Journal Title

      Mathematics of Computations 77

      Pages: 1153-1183

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340011
  • [Journal Article] Families of cyclic polynomials obtained from geometric generalization of Gaussian period relations2005

    • Author(s)
      K.Hashimoto, A.Hoshi
    • Journal Title

      Math.Comp. (to appear)

    • Data Source
      KAKENHI-PROJECT-13304002
  • [Journal Article] Geometric generalization of Gaussian period relations with application to Noether's problem for meta-cyclic groups2005

    • Author(s)
      Kiichiro Hashimoto
    • Journal Title

      Tokyo. J. Math. 28・1

      Pages: 13-32

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340015
  • [Journal Article] Families of cyclic polynomials obtained from geometric generalization of Gaussian period relations2005

    • Author(s)
      Ki-ichiro Hashimoto
    • Journal Title

      Mathematics of Computation 74

      Pages: 1519-1630

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15204003
  • [Journal Article] 超楕円曲線と mod 2 ガロア表現について2005

    • Author(s)
      Kiichiro Hashimoto
    • Journal Title

      数理解析研究所講究録 1451

      Pages: 285-294

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340015
  • [Journal Article] Families of cyclic polynomials obtained from geometric generalization of Gaussian period relations2005

    • Author(s)
      Kiichiro Hashimoto
    • Journal Title

      Math. Comp. 74

      Pages: 1519-1530

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340015
  • [Journal Article] Hyperelliptic curves and mod 2 Galois representations2005

    • Author(s)
      Kiichiro Hashimoto
    • Journal Title

      Proceedings of the RIMS Conference 1451

      Pages: 285-294

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15340015
  • [Journal Article] Geometric generalization of Gaussian period relations with application to Noether's problem for meta-cyclic groups2005

    • Author(s)
      Ki-ichiro Hashimoto, Akinari Hoshi
    • Journal Title

      Tokyo.J.Math. 28-1

      Pages: 13-32

    • Data Source
      KAKENHI-PROJECT-15340015
  • [Journal Article] Geometric generalization of Gaussian period relations with application to Noether's problem for meta-cyclic groups2005

    • Author(s)
      Kiichiro Hashimoto
    • Journal Title

      Tokyo.J.Math. 28-1

      Pages: 13-32

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15340015
  • [Journal Article] Type numbers and linear relations Of theta series for some general orders of quaternion algebras2005

    • Author(s)
      Kiichiro Hashimoto
    • Journal Title

      Proceedings of the Conference in Memory of Tsuneo Arakawa, World Scientific

      Pages: 107-129

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15340015
  • [Journal Article] Families of cyclic polynomials obtained from geometric generalization of Gaussian period relations2005

    • Author(s)
      Ki-ichiro Hashimoto, Akinari Hoshi
    • Journal Title

      Mathematics of Computation 74(to appear)

    • Data Source
      KAKENHI-PROJECT-15340015
  • [Journal Article] 超楕円曲線とmod 2ガロア表現について2005

    • Author(s)
      橋本喜一朗
    • Journal Title

      数理解析研究所講究録 1451

      Pages: 285-294

    • Data Source
      KAKENHI-PROJECT-15340015
  • [Journal Article] Type numbers and linear relations of theta series for some general orders of quaternion algebras2005

    • Author(s)
      Kiichiro Hashimoto
    • Journal Title

      Proceedings of the Conference in Memory of Tsuneo Arakawa. World Scientific

      Pages: 107-129

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340015
  • [Journal Article] Families of cyclic polynomials obtained from geometric generalization of Gaussian period relations2005

    • Author(s)
      Kiichiro Hashimoto
    • Journal Title

      Math.Comp. 74

      Pages: 1519-1530

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15340015
  • [Journal Article] Families of cyclic polynomials obtained from geometric generalization of Gaussian period relations2005

    • Author(s)
      Ki-ichiro Hashimoto, Akinari Hoshi
    • Journal Title

      Mathematics of Computations 74

      Pages: 1519-1530

    • Data Source
      KAKENHI-PROJECT-15340015
  • [Journal Article] Noether's problem and Q-generic polynomials for the affine transformation group on Z/8Z and its subgroups2004

    • Author(s)
      K.Hashimoto(with Yuichi Rikuna, Akinari Hoshi)
    • Journal Title

      Proceedings of Conference on Number theory, Waseda University

      Pages: 13-26

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-13304002
  • [Journal Article] Noether' s Problem and Q-generic Polynomial for the affine transformation group Z/8Z and its subgroups of exponent 82004

    • Author(s)
      Kiichiro Hashimoto
    • Journal Title

      Proceedings of the Conference on Number Theory in Waseda University 9

      Pages: 13-26

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15340015
  • [Journal Article] Noether's problem and Q-generic polynomials for the affine transformation group on Z/8Z and its subgroups2004

    • Author(s)
      K.Hashimoto, Y.Rikuna, A.Hoshi
    • Journal Title

      早稲田大学整数論研究集会報告集

      Pages: 13-26

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-13304002
  • [Journal Article] Noether's Problem and Q-generic Polynomial for the affine transformation group Z/8Z and its subgroups of exponent 82004

    • Author(s)
      Kiichiro Hashimoto
    • Journal Title

      早稲田大学整数論研究集会報告 9

      Pages: 13-26

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340015
  • [Journal Article] Q-curves of rational j-invaritants and Jacobian surfaces of GL_2-type2003

    • Author(s)
      Ki-ichiro Hashimoto
    • Journal Title

      DEVM 11(Kluwer Acad.Publ., Dordrecht/Boston/London)

      Pages: 39-64

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-13304002
  • [Journal Article] 5次可移群に対するQ上2助変数生成的多項式の構成2003

    • Author(s)
      橋本喜一郎
    • Journal Title

      数理解析研究所講究録 1324

      Pages: 207-216

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-13304002
  • [Journal Article] Generic polynomials over Q with two parameters for the transitive groups of degree five2003

    • Author(s)
      Ki-ichiro Hashimoto, Hiroshi Tsunogai
    • Journal Title

      Proc.Japan Acad. 79A

      Pages: 148-151

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-13304002
  • [Journal Article] Construction of generic polynomials of 2-parameters over Q for transitive group of degree 5 (in Japanese)2003

    • Author(s)
      K.Hashimoto
    • Journal Title

      Kyoto Univ.Suriken Kokyuroku 1324

      Pages: 207-216

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-13304002
  • [Journal Article] Birch Swinnerton-Dyer Conjecture (in Japanese)2002

    • Author(s)
      K.Hashimoto
    • Journal Title

      Seven unsolved problems in mathematics(Morikita Shuppan)

      Pages: 31-58

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-13304002
  • [Journal Article] On Generic Families of Cyclic Polynomials with even Degree2002

    • Author(s)
      Ki-ichiro Hashimoto, Yuichi Rikuna
    • Journal Title

      Manuscripta Math. 107

      Pages: 283-288

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-13304002
  • [Journal Article] バーチ&スウィンナートン・ダイヤー予想2002

    • Author(s)
      橋本喜一郎
    • Journal Title

      数学七つの未解決問題(森北出版)

      Pages: 31-58

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-13304002
  • [Journal Article] Construction of family of cyclic polynomials modeled by irreducible polynomial of Gauss period (in Japanese)2002

    • Author(s)
      K.Hashimoto (with Akinari Hoshi)
    • Journal Title

      Proceedings of Conference on Number Theory, Waseda University

      Pages: 1-11

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-13304002
  • [Journal Article] ガウス周期の既約多項式をモデルとする巡回多項式族の構成2002

    • Author(s)
      橋本喜一郎, 星明孝
    • Journal Title

      早稲田大学整数論研究集会報告集

      Pages: 1-11

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-13304002
  • [Journal Article] 数論と母関数2001

    • Author(s)
      橋本喜一郎
    • Journal Title

      数学セミナー 10

      Pages: 28-34

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-13304002
  • [Journal Article] Number Theory and generating functions (in Japanese)2001

    • Author(s)
      K.Hashimoto
    • Journal Title

      Sugaku Seminar (Nippon Hyoronsha) 2001-10

      Pages: 28-34

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-13304002
  • [Journal Article] Geometric generalization of Gaussian period relations with application to Noether's problem for meta-cyclic groups

    • Author(s)
      Ki-ichiro Hashimoto, Akinari Hoshi
    • Journal Title

      Tokyo Journal of Mathematics (to appear)

    • Data Source
      KAKENHI-PROJECT-15340015
  • [Presentation] Some results on Jacobsthal sum identities2010

    • Author(s)
      Kiichiro Hashimoto
    • Organizer
      研究集会「代数的整数論とその周辺」
    • Place of Presentation
      RIMS(京都大学)
    • Data Source
      KAKENHI-PROJECT-19340011
  • [Presentation] An incomplete surveyon Noether's problem for S_n and A_n2009

    • Author(s)
      Kiichiro Hashimoto
    • Organizer
      研究集会「ガロア理論とその周辺」
    • Place of Presentation
      金沢大学サテライトプラザ
    • Data Source
      KAKENHI-PROJECT-19340011
  • [Presentation] Linear Relations of Quaternion theta series and Vanishing of L(s,f)at s=12008

    • Author(s)
      Kiichiro Hashimoto
    • Place of Presentation
      台湾国立清華大学
    • Year and Date
      2008-12-17
    • Data Source
      KAKENHI-PROJECT-19340011
  • [Presentation] On versal family of genus 2 curves with sqrt{2}-multiplication2007

    • Author(s)
      Kiichiro Hashimoto, Yukiko Sakai
    • Organizer
      RIMS研究集会「代数的整数論とその周辺」
    • Place of Presentation
      京都大学
    • Year and Date
      2007-12-14
    • Data Source
      KAKENHI-PROJECT-19340011
  • [Presentation] Noether's Problem for transitive Permutation Groups of degree 6,I, II2007

    • Author(s)
      Kiichiro Hashimoto, Hiroshi Tsunogai
    • Organizer
      研究集会「ガロア理論とその周辺」
    • Place of Presentation
      山形大学
    • Year and Date
      2007-11-04
    • Data Source
      KAKENHI-PROJECT-19340011
  • [Presentation] Ponceletの閉形定理とDelta=8の実乗法を持つ種数2の超楕円曲線について2007

    • Author(s)
      Kiichiro Hashimoto, Yukiko Sakai
    • Organizer
      日本数学会秋季総合分科会
    • Place of Presentation
      東北大学
    • Year and Date
      2007-09-23
    • Data Source
      KAKENHI-PROJECT-19340011
  • [Presentation] Onvernal family of genus 2 curves with sqrt{2}-multiplication2007

    • Author(s)
      Kiichiro Hashimoto, Yukiko Sakai
    • Organizer
      研究集会「代数的整数論とその周辺」
    • Place of Presentation
      京都大学
    • Year and Date
      2007-12-14
    • Data Source
      KAKENHI-PROJECT-19340011
  • [Presentation] Yukiko Sakai Poncelet の閉形定理と Delta=8 の実乗法を持つ種数 2 の超楕円曲線について2007

    • Author(s)
      Kiichiro Hashimoto
    • Organizer
      日本数学会秋季総合分科会
    • Place of Presentation
      日東北大学
    • Year and Date
      2007-09-23
    • Data Source
      KAKENHI-PROJECT-19340011
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