KOJIMA Hisashi 小嶋久祉

… Alternative Names

Researcher Number	90146118
Affiliation (Current)	2021: 埼玉大学, 理工学研究科, 名誉教授
Affiliation (based on the past Project Information) *help	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 2006: 埼玉大学, 理工学研究科, 教授 … More
Review Section/Research Field	Principal Investigator Algebra / Algebra Except Principal Investigator Geometry / Algebra / Science education
Keywords	Principal Investigator ゼータ関数 / モジュラ形式 / 半整数の重さのモジュラ形式 / モジュラー形式 / 半整数の重さのモジュラー形式 / ヤコビ形式 / modular forms of half integral weight / modular forms / zeta function / 保型形式 … More Except Principal Investigator 代数曲線 / 平面曲線 / 特異点 / ゴナリティ / 葉層構造 / 極小葉層 / リーマン葉層 / コンパクト葉 / Foliation / Minimal foliation / 位相幾何学 / ゲージ理論 / Configuration空間 / トポロジー / 正則写像 / 数式処理 / 誤り訂正符号 / 代数幾何 / ワイエルシュトラス点 / 分岐点 / 自己同型群 / セクスタクティック点 / 変曲点 / 有理関数体 / バンドル-ライク葉層 / 平均曲率関数 / 定平均曲率葉層 / 全測地的葉層 / 極小グラフ / Bernstein問題 / 葉の成長度 / 平均曲率ベクトル / 束葉層 / ベーシック 1-形式 / 断面曲率正 / キリングベクトル場 / Bundle-like foliation / Mean curvature function / Constant mean curvature / Totally geodesic / Minimal graph / メトリック葉層 / キリング場 / チーガー定数 / (有向)グラフ / グラフの連結性 / (有向グラフ上の)許容関数 / 有向グラフ / 許容関数 / 許容ベクトル場 / 平均曲率ベクトル場 / 錘構造 / 錐構造 / Metric foliation / Killing field / Cheeger constant / (Di-)graph / Connectivities of graph / admissible function of digraph / 個に応じた指導 / 発展的な学習 / 補充的な学習 / チームティーチング / 教授組織 / 指導法 / 算数 / 数学 / 算数・数学 / 問題解決 / 適性別指導 / 自力学習 / TEACHING IN ACCORDANCE WITH INDIVIDUALITY / DEVELOPMENT STUDY / SUPPULEMENTALY STUDY / TEAM-TEACHING / ORGANIATION FOR TEACHING / METHODS OF TEACHING / ARITHMETICS / MATHEMATICS / クレモナ変換 / 対数的小平次元 / 有理関数 / plane curve / singularity / gonality / Cremona transformation / 保型関数 / 保型形式 / 保型L関数 / 池田リフト / 平均値足理 / 多重ゼータ関数 / 多重L関数 / 平均値定理 / Wittenゼータ関数 / ルート系 / 半単純Lie環 / 関数関係式 / Weyl群 / 関数等式 / Siegelモジュラー形式 / 二乗平均値定理 / スタンダードL関数 / Mellin-Barnes積分 / 標準L関数 / Riemannゼータ関数 / automcrphic L-function / automacrphic form / automcrphic L-fiuiction / Ikeda lifting / mean-valat fheoreul / multiple zeta-fanction / multiple L-function Less

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

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2. OSHIKIRI Genichi (70133931)

# of Collaborated Projects: 7 results

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3. NUMATA Minoru (50028255)

# of Collaborated Projects: 6 results

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4. MIYAI Akio (70003960)

# of Collaborated Projects: 6 results

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5. SAKAI Fumio (40036596)

# of Collaborated Projects: 5 results

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6. FUMIO Nakajima (20004484)

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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)

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17. 大久保謙二郎 (00087016)

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18. 安香満恵 (80016055)

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19. TAYOSHI Takao (60017382)

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20. NAGASAWA Takeyoki (70202223)

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21. TAKEUCHI Kisao (00011560)

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22. KISHIMOTO Takashi (20372576)

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23. 関口次郎 (30117717)

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24. 大西勇 (30262372)

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25. 安藤清 (20096944)

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26. 渡辺二郎 (90011535)

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27. OHTA Masahito (00291394)

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28. SHIMOKAWA Koya (60312633)

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29. TONO Keita (30422215)

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32. IIDA Masato (00242264)

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33. NOUDA Nobuhiko (80020121)

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34. ISODA Masami (70212967)

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35. SIMIZU Sizumi (20115661)

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36. 佐藤孝和 (70215797)

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37. MATSUMOTO Koji (60192754)

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38. KONDO Shigeyuki (50186847)

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39. KANEMITU Shigeru (60117091)

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40. KANEKO Masahiko (70202017)

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41. EGAMI Shigeki (60168771)

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44. 坂内健一 (90343201)

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KOJIMA Hisashi 小嶋 久祉

小嶋 久し コジマ ヒサシ

小島 久祉 コジマ ヒサシ

小嶋 久祉 コジマ ヒサシ

Research Projects

Research Products

Co-Researchers

On rational functions and singularities of plane algebraic curves

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

An arithmetic study of modular forms of half integral weight and Siegel modular formsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Stadies on Andytic Priepeitied of autoinoiptic L-functions

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Arithmetic study of Fourier coefficients of modular forms of half integral weight and Siegel modular formsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Geometry of plane algebraic curves

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Arithmetic study of Fourier coefficients of modular forms of half integral weight and the special values of zeta functionsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

The study of relations between topological properties and differential geometric properties of foliated structures.

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

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

Project Period (FY)

Research Category

Research Field

Research Institution

Arithmetic study of Fourier coefficients of automorphic forms and modular forms and zeta functionsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Differential Geometric Approach to Foliated Structures.

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

The study of arithmetic and analytic property of automorphic forms and zeta function associated with them and numerical analysisPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

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

Project Period (FY)

Research Category

Research Field

Research Institution

位相幾何学に現われる数理物理と数式処理の研究

KOJIMA Hisashi 小嶋久祉

小嶋久しコジマヒサシ

小島久祉コジマヒサシ

小嶋久祉コジマヒサシ