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KOJIMA Hisashi  小嶋 久祉

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… Alternative Names

小嶋 久祉  コジマ ヒサシ

小嶋 久し  コジマ ヒサシ

小島 久祉  コジマ ヒサシ

Less
Researcher Number 90146118
Affiliation (Current) 2025: 埼玉大学, 理工学研究科, 名誉教授
Affiliation (based on the past Project Information) *help 2024: 埼玉大学, 理工学研究科, 名誉教授
2010: 埼玉大学, 大学院・理工学研究科, 教授
2007 – 2008: Saitama University, 大学院・理工学研究科, 教授
2007: Saitama Univ, Fac. Sci, Prof
2006: Saitama University, Graduate School of Engineering and Science, Professor, 大学院理工学研究科, 教授 … More
2006: 埼玉大学, 理工学研究科, 教授
2004 – 2005: 埼玉大学, 理学部, 教授
1998 – 2003: Iwate University, Derartment Faculty of Education, Professor, 教育学部, 教授
1993 – 1997: 電気通信大学, 電気通信学部, 助教授 Less
Review Section/Research Field
Principal Investigator
Algebra / Algebra / Basic Section 11010:Algebra-related
Except Principal Investigator
Algebra / Geometry / Science education
Keywords
Principal Investigator
ゼータ関数 / 半整数の重さのモジュラ形式 / モジュラ形式 / modular forms / modular forms of half integral weight / ヤコビ形式 / 半整数の重さのモジュラー形式 / モジュラー形式 / zeta function / Maass wave form … More / Jacobi form / ゼータ関数の特殊値 / ジーゲルモジュラ形式 / 保型形式 / 池田ー宮脇リフト / ヒルベルトモジュラ形式 / マース空間 / マースの波動形式 / specaial values of zeta function / Jacobi forms / モジュラー形式のフーリエ係数 / Jacobi形式 / ゼータ関数お特殊値 / compact leaf / Riemannian fo / Fourier coefficients of modular forms / critical values of zeta functions / zeta functions / コンパクト葉 / リーマン葉層 / モジュラ形式のフーリエ係数 / 有限群 / 半整数9重さ9モジュラ形式 / ヤュビ形式 / 波動方程式 / スペクトル分解 / 音波の散乱 / ヘッケ作用素 / ジーゲルモジュラー形式 / 連結グラフ / グラフ / 代数曲面 / 代数幾何符号 / トポロジー / 代数多様体 / リーマン面 / ヤコビ型式 / ヒルベルトモジュラー形式 … More
Except Principal Investigator
Minimal foliation / Foliation / コンパクト葉 / リーマン葉層 / 極小葉層 / 葉層構造 / ゴナリティ / 特異点 / 平面曲線 / 代数曲線 / multiple L-function / multiple zeta-fanction / mean-valat fheoreul / Ikeda lifting / automcrphic L-fiuiction / automacrphic form / automcrphic L-function / Riemannゼータ関数 / 標準L関数 / Mellin-Barnes積分 / スタンダードL関数 / 二乗平均値定理 / Siegelモジュラー形式 / 関数等式 / Weyl群 / 関数関係式 / 半単純Lie環 / ルート系 / Wittenゼータ関数 / 平均値定理 / 多重L関数 / 多重ゼータ関数 / 平均値足理 / 池田リフト / 保型L関数 / 保型形式 / 保型関数 / Cremona transformation / gonality / singularity / plane curve / 有理関数 / 対数的小平次元 / クレモナ変換 / MATHEMATICS / ARITHMETICS / METHODS OF TEACHING / ORGANIATION FOR TEACHING / TEAM-TEACHING / SUPPULEMENTALY STUDY / DEVELOPMENT STUDY / TEACHING IN ACCORDANCE WITH INDIVIDUALITY / 自力学習 / 適性別指導 / 問題解決 / 算数・数学 / 数学 / 算数 / 指導法 / 教授組織 / チームティーチング / 補充的な学習 / 発展的な学習 / 個に応じた指導 / admissible function of digraph / Connectivities of graph / (Di-)graph / Cheeger constant / Killing field / Metric foliation / 錐構造 / 錘構造 / 平均曲率ベクトル場 / 許容ベクトル場 / 許容関数 / 有向グラフ / (有向グラフ上の)許容関数 / グラフの連結性 / (有向)グラフ / チーガー定数 / キリング場 / メトリック葉層 / Minimal graph / Totally geodesic / Constant mean curvature / Mean curvature function / Bundle-like foliation / キリングベクトル場 / 断面曲率正 / ベーシック 1-形式 / 束葉層 / 平均曲率ベクトル / 葉の成長度 / Bernstein問題 / 極小グラフ / 全測地的葉層 / 定平均曲率葉層 / 平均曲率関数 / バンドル-ライク葉層 / 有理関数体 / 変曲点 / セクスタクティック点 / 自己同型群 / 分岐点 / ワイエルシュトラス点 / 代数幾何 / 誤り訂正符号 / 数式処理 / 正則写像 / トポロジー / Configuration空間 / ゲージ理論 / 位相幾何学 Less
  • Research Projects

    (16 results)
  • Research Products

    (7 results)
  • Co-Researchers

    (44 People)
  •  ジーゲルモジュラー形式の池田-宮脇リフトの周期に関する池田予想の研究Principal Investigator

    • Principal Investigator
      小嶋 久祉
    • Project Period (FY)
      2024 – 2026
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 11010:Algebra-related
    • Research Institution
      Saitama University
  •  On rational functions and singularities of plane algebraic curves

    • Principal Investigator
      SAKAI Fumio
    • Project Period (FY)
      2008 – 2010
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Saitama University
  •  An arithmetic study of modular forms of half integral weight and Siegel modular formsPrincipal Investigator

    • Principal Investigator
      KOJIMA Hisashi
    • Project Period (FY)
      2006 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Saitama University
  •  Stadies on Andytic Priepeitied of autoinoiptic L-functions

    • Principal Investigator
      MATSUMOTO Koji
    • Project Period (FY)
      2004 – 2007
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Nagoya University
  •  Arithmetic study of Fourier coefficients of modular forms of half integral weight and Siegel modular formsPrincipal Investigator

    • Principal Investigator
      KOJIMA Hisashi
    • Project Period (FY)
      2004 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      SAITAMA UNIVERSITY
  •  Geometry of plane algebraic curves

    • Principal Investigator
      SAKAI Fumio
    • Project Period (FY)
      2003 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Saitama University
  •  Arithmetic study of Fourier coefficients of modular forms of half integral weight and the special values of zeta functionsPrincipal Investigator

    • Principal Investigator
      KOJIMA Hisashi
    • Project Period (FY)
      2002 – 2003
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      IWATE UNIVERSITY
  •  The study of relations between topological properties and differential geometric properties of foliated structures.

    • Principal Investigator
      OSHIKIRI Gen-ichi
    • Project Period (FY)
      2001 – 2003
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Iwate University
  •  TEACING PROBLEM- SOLVING IN MATHEMATICS EDUCATION IN ACCORDANCE WITH STUDENT'S APTITUDE : WITH FOCUS ON THE SHIFT FROM QUANTITY TO QUARITY OF SELF STUDY.

    • Principal Investigator
      NOUDA Nobuhiko
    • Project Period (FY)
      2001 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Science education
    • Research Institution
      IWATE UNIVERSITY
  •  Arithmetic study of Fourier coefficients of automorphic forms and modular forms and zeta functionsPrincipal Investigator

    • Principal Investigator
      KOJIMA Hisashi
    • Project Period (FY)
      1999 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Iwate University
  •  Differential Geometric Approach to Foliated Structures.

    • Principal Investigator
      OSHIKIRI Gen-ichi
    • Project Period (FY)
      1998 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Iwate University
  •  The study of arithmetic and analytic property of automorphic forms and zeta function associated with them and numerical analysisPrincipal Investigator

    • Principal Investigator
      KOJIMA Hisashi
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Iwate University
      The University of Electro-Communications
  •  保型形式とゼータ関数の特殊値の数論および解析的研究と数値解析Principal Investigator

    • Principal Investigator
      小嶋 久祉
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      The University of Electro-Communications
  •  位相幾何学に現われる数理物理と数式処理の研究

    • Principal Investigator
      山口 耕平
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      The University of Electro-Communications
  •  保型形式の数論的および解析的研究と数値解析Principal Investigator

    • Principal Investigator
      小嶋 久祉
    • Project Period (FY)
      1994 – 1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      The University of Electro-Communications
  •  無限次ガロア拡大体の構成と保型形式の解析的研究Principal Investigator

    • Principal Investigator
      小嶋 久祉
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      The University of Electro-Communications

All 2005 2004 Other

All Journal Article

  • [Journal Article] A Maass space in higher genus2005

    • Author(s)
      W.Kohnen, H.Kojima
    • Journal Title

      Compositio Math. 141

      Pages: 313-322

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540003
  • [Journal Article] A Maass space in higher genus2005

    • Author(s)
      Hisashi Kojima 他
    • Journal Title

      Compositio Math. 141

      Pages: 313-322

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540003
  • [Journal Article] On the Fourier coefficients of Hilbert-Maass wave forms of half integral weight over arbitrary algebraic number fields2004

    • Author(s)
      Hisashi Kojima
    • Journal Title

      J.Number Theory 107

      Pages: 25-62

    • Data Source
      KAKENHI-PROJECT-16540003
  • [Journal Article] On the Fourier coefficients of modular forms of half integral weight belonging to Kohnen's spaces and the critical values of zeta functions2004

    • Author(s)
      H.Kojima, Y.Tokuno
    • Journal Title

      Tohoku Math.J. 56

      Pages: 125-145

    • NAID

      110000027035

    • Data Source
      KAKENHI-PROJECT-16540003
  • [Journal Article] On the Fourier coefficients of Hilbert-Maass wave form of half integral weight over arbitrary algebraic number fields2004

    • Author(s)
      Hisashi Kojima
    • Journal Title

      Journal of Number theory 107

      Pages: 25-62

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540003
  • [Journal Article] On the Fourier coefficients of Hilbert-Maass wave forms of half integral weight over arbitrary algebraic number fields2004

    • Author(s)
      H.Kojima
    • Journal Title

      J. Number theory 107

      Pages: 25-62

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540003
  • [Journal Article] A Maass space in higher genus

    • Author(s)
      W.Kohnen, H.Kojima
    • Journal Title

      Compositio Math. (to appear)

    • Data Source
      KAKENHI-PROJECT-16540003
  • 1.  KOMIYAMA Haruo (90042762)
    # of Collaborated Projects: 7 results
    # of Collaborated Products: 0 results
  • 2.  OSHIKIRI Genichi (70133931)
    # of Collaborated Projects: 7 results
    # of Collaborated Products: 0 results
  • 3.  NUMATA Minoru (50028255)
    # of Collaborated Projects: 6 results
    # of Collaborated Products: 0 results
  • 4.  MIYAI Akio (70003960)
    # of Collaborated Projects: 6 results
    # of Collaborated Products: 0 results
  • 5.  SAKAI Fumio (40036596)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 6.  FUMIO Nakajima (20004484)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 7.  KAWADA Koichi (70271830)
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  • 8.  水野 弘文 (40017306)
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  • 9.  FUKUI Toshizumi (90218892)
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  • 10.  伊東 裕也 (30211056)
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  • 11.  吉岡 正典 (90272749)
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  • 12.  MIZUTANI Tadayoshi (20080492)
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  • 13.  SAKAMATO Kunio (70089829)
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  • 14.  KOIKE Shigeaki (90205295)
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  • 15.  EBIHARA Madoka (80213578)
    # of Collaborated Projects: 3 results
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  • 16.  山口 耕平 (00175655)
    # of Collaborated Projects: 2 results
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  • 17.  大久保 謙二郎 (00087016)
    # of Collaborated Projects: 2 results
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  • 18.  安香 満恵 (80016055)
    # of Collaborated Projects: 2 results
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  • 19.  TAYOSHI Takao (60017382)
    # of Collaborated Projects: 2 results
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  • 20.  NAGASAWA Takeyoki (70202223)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 21.  TAKEUCHI Kisao (00011560)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 22.  KISHIMOTO Takashi (20372576)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 23.  関口 次郎 (30117717)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 24.  大西 勇 (30262372)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 25.  安藤 清 (20096944)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 26.  渡辺 二郎 (90011535)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 27.  OHTA Masahito (00291394)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 28.  SHIMOKAWA Koya (60312633)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 29.  TONO Keita (30422215)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 30.  中村 健一 (40293120)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 31.  小藤 俊幸 (30234793)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 32.  IIDA Masato (00242264)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 33.  NOUDA Nobuhiko (80020121)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 34.  ISODA Masami (70212967)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 35.  SIMIZU Sizumi (20115661)
    # of Collaborated Projects: 1 results
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  • 36.  佐藤 孝和 (70215797)
    # of Collaborated Projects: 1 results
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  • 37.  MATSUMOTO Koji (60192754)
    # of Collaborated Projects: 1 results
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  • 38.  KONDO Shigeyuki (50186847)
    # of Collaborated Projects: 1 results
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  • 39.  KANEMITU Shigeru (60117091)
    # of Collaborated Projects: 1 results
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  • 40.  KANEKO Masahiko (70202017)
    # of Collaborated Projects: 1 results
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  • 41.  EGAMI Shigeki (60168771)
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