KOJIMA Hisashi 小嶋久祉

Researcher Number	90146118
Affiliation *help	2017 : 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
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 / modular forms / ヤコビ形式 / 半整数の重さのモジュラー形式 / modular forms of half integral weight / モジュラー形式 / zeta function / Jacobi form … More Except Principal Investigator Minimal foliation / ゴナリティ / Foliation / リーマン葉層 / 特異点 / 葉層構造 / 代数曲線 / 平面曲線 / コンパクト葉 / 極小葉層 / TEACHING IN ACCORDANCE WITH INDIVIDUALITY / automacrphic form / mean-valat fheoreul / Configuration空間 / 多重ゼータ関数 / admissible function of digraph / 指導法 / 分岐点 / 補充的な学習 / ルート系 / 個に応じた指導 / スタンダードL関数 / 保型関数 / 対数的小平次元 / 全測地的葉層 / singularity / 束葉層 / トポロジー / (Di-)graph / 保型形式 / 錘構造 / 算数 / 関数等式 / 標準L関数 / 保型L関数 / Mean curvature function / 断面曲率正 / 位相幾何学 / Totally geodesic / multiple zeta-fanction / セクスタクティック点 / 二乗平均値定理 / DEVELOPMENT STUDY / 極小グラフ / メトリック葉層 / gonality / Bundle-like foliation / (有向)グラフ / 算数・数学 / multiple L-function / Riemannゼータ関数 / 平均値足理 / 自己同型群 / 平均値定理 / 有理関数 / チームティーチング / ORGANIATION FOR TEACHING / 適性別指導 / 有向グラフ / Siegelモジュラー形式 / 問題解決 / 変曲点 / Mellin-Barnes積分 / グラフの連結性 / 教授組織 / automcrphic L-function / Minimal graph / 平均曲率ベクトル場 / SUPPULEMENTALY STUDY / (有向グラフ上の)許容関数 / automcrphic L-fiuiction / 平均曲率関数 / 関数関係式 / Wittenゼータ関数 / 数学 / 半単純Lie環 / plane curve / キリングベクトル場 / クレモナ変換 / Bernstein問題 / ゲージ理論 / 数式処理 / METHODS OF TEACHING / Constant mean curvature / 発展的な学習 / ARITHMETICS / 誤り訂正符号 / Cremona transformation / 錐構造 / ベーシック 1-形式 / 許容関数 / Ikeda lifting / 池田リフト / 正則写像 / Metric foliation / キリング場 / ワイエルシュトラス点 / Cheeger constant / バンドル-ライク葉層 / 自力学習 / 代数幾何 / チーガー定数 / Weyl群 / 許容ベクトル場 / MATHEMATICS / 有理関数体 / 定平均曲率葉層 / 平均曲率ベクトル / TEAM-TEACHING / Connectivities of graph / 葉の成長度 / Killing field / 多重L関数 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)
  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] 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] 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] 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)
  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
- 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 : 7results

# of Collaborated Products : 0results
2. OSHIKIRI Genichi (70133931)

# of Collaborated Projects : 7results

# of Collaborated Products : 0results
3. NUMATA Minoru (50028255)

# of Collaborated Projects : 6results

# of Collaborated Products : 0results
4. MIYAI Akio (70003960)

# of Collaborated Projects : 6results

# of Collaborated Products : 0results
5. SAKAI Fumio (40036596)

# of Collaborated Projects : 5results

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6. FUMIO Nakajima (20004484)

# of Collaborated Projects : 5results

# of Collaborated Products : 0results
7. KAWADA Koichi (70271830)

# of Collaborated Projects : 5results

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8. 水野弘文 (40017306)

# of Collaborated Projects : 4results

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9. FUKUI Toshizumi (90218892)

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10. 吉岡正典 (90272749)

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11. 伊東裕也 (30211056)

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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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16. TAYOSHI Takao (60017382)

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17. NAGASAWA Takeyoki (70202223)

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18. 山口耕平 (00175655)

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19. 大久保謙二郎 (00087016)

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20. 安香満恵 (80016055)

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21. TAKEUCHI Kisao (00011560)

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22. KISHIMOTO Takashi (20372576)

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23. 渡辺二郎 (90011535)

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24. OHTA Masahito (00291394)

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25. SHIMOKAWA Koya (60312633)

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26. TONO Keita (30422215)

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27. 関口次郎 (30117717)

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28. 中村健一 (40293120)

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29. 小藤俊幸 (30234793)

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30. IIDA Masato (00242264)

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31. NOUDA Nobuhiko (80020121)

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32. ISODA Masami (70212967)

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33. SIMIZU Sizumi (20115661)

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34. 大西勇 (30262372)

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35. 安藤清 (20096944)

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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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42. 谷川好男 (50109261)

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43. 古庄英和 (60377976)

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44. 坂内健一 (90343201)

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KOJIMA Hisashi 小嶋 久祉

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

Principal Investigator

Project Period (FY)

Research Category

KOJIMA Hisashi 小嶋久祉