KOJIMA Hisashi 小嶋久祉

… 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

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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

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

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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)

# of Collaborated Projects: 5 results

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7. KAWADA Koichi (70271830)

# of Collaborated Projects: 5 results

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8. 水野弘文 (40017306)

# of Collaborated Projects: 4 results

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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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16. 山口耕平 (00175655)

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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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30. 中村健一 (40293120)

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31. 小藤俊幸 (30234793)

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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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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

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

Research Projects

Research Products

Co-Researchers

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

Project Period (FY)

Research Category

Review Section

Research Institution

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

KOJIMA Hisashi 小嶋久祉

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