AOKI Noboru 青木昇

… Alternative Names

青木昇

Less

Researcher Number	30183130
Other IDs
Affiliation (based on the past Project Information) *help	2016: 立教大学, 理学部, 教授 2003 – 2009: 立教大学, 理学部, 教授 1995 – 2002: 立教大学, 理学部, 助教授 1991 – 1994: DEPT. MATH., RIKKYO UNIV., LECTURER, 理学部, 講師 1988: 立教大学, 理学部, 助手
Review Section/Research Field	Principal Investigator Algebra / Algebra Except Principal Investigator Algebra / Algebra / 代数学・幾何学
Keywords	Principal Investigator 楕円曲線 / アーベル多様体 / ヤコビ和 / ガウス和 / L関数 / Tate-Shafarevich group / elliptic curve / Fermat curve / Jacobi sum / テイト・シャファレヴィッチ群 … More / リーマンゼータ関数 / フェルマー曲線 / ゼータ関数 / 虚数乗法論 / 円分体 / イデアル類群 / Groebner basis / Riemann zeta function / prehomogenous vector space / Gross conjecture / トーリックイデアル / 保型形式 / トーリック環 / Tate-Safarevich群 / トーリック多様体 / Eisenstein級数 / 局所密度 / 二次形式 / グレブナー基底 / 概均質ベクトル空間 / Fermat曲線 / Tate-Shaferevich群 / Gross予想 / Cassels pairing / Selmer group / congruent number / Gauss sum / フェルマ-曲線 / テイト・シャファレビッチ群 / カッセルズ対 / セルマー群 / 合同数 / リーマン予想 / モーデル・ヴェイユ群 / ファレイ数列 / ディオファンタス方程式 / Farey数列 / p進ガンマ関数 / Davenpot和 / Riemann予想 / Hecke L関数 / 代数的サイクル / フェルマー曲面 / 数論 / ヤコビ多様体 / 三次曲面 / 三次曲線 / モ-デル・ヴェイユ格子 / モ-デル・ヴェイユ群 / セルマ-群 / 代数体 … More Except Principal Investigator モーデル・ヴェイユ格子 / 楕円曲面 / Mordell-Weil Lattices / 有理楕円曲面 / 整点 / 特異ファイバー / Maass wave forms / テイト・シャファレヴィチ群 / 整数点 / 楕円曲線 / Fermat曲線 / 概均質ベクトル空間 / 代数曲線 / モ-デル・ヴェイユ格子 / ワイヤストラス変換 / ３次曲面と２７直線 / ハイト公式 / 楕円ファイブレーション / 3次曲面と２７直線 / ピカール数 / ネロン・セヴェリ群 / 高種数曲線ファイブレーション / K３曲面 / 乗法的卓越族 / 高種数ファイブレーション / ネロン・セヴェリ格子 / フェルマー曲面 / ガロア表現 / 代数幾何学 / Painleve equations / Gauss sums / Sphere packing problem / Kummer surfaces / Rational elliptic surfaces / K3 surfaces / コレスポンデンス / サイクル / 楕円パラメータ / ソリトン方程式 / パンルヴェ方程式 / ガウス和 / 球の詰め込み問題 / クンマー曲面 / K3曲面 / Hodge Conjecture / Tate-Shafarevich group / abc-theorem / DS-triples / Singular fibre / Elliptic Surface / Shafarevich Correspondence / 極大な特異ファイバー / Davenport-Stothers3対 / DS-トリプル / ホッジ予想 / abc-定理 / DSトリプル / シャファレヴィチ対応 / b-function / prehomogeneous vector space / multiple L-values / prime geodesic theorem / Selberg zeta functions / Jacobi forms / modular forms / Gamma行列 / 弱球等質空間 / Weierstrass部分空間 / 不定符号4元数環 / モジュラー群 / セルバーグゼータ関数 / 概均質ゼータ関数 / converse theorem / zeta regularization / double shuffle relation / 多重L-値 / Shimura 対応 / Selberg zeta 関数 / Hodge予想 / Selberg跡公式 / b-関数 / 多重L値 / 素測地線定理 / Maass波形式 / Selberg zeta関数 / Jacobi形式 / 保型形式 / Hodge Cycles / Tate-Shafarevich Group / Elliptic Modular Surfaces / Codes / Integral Points / Abelian Varieties / Elliptic Curves / 不変式論 / 球のつめこみ / コード / Davenportの限界 / ABC定理 / アーベル多様体 / ホッジ・サイクル / 楕円モジュラー曲面 / 符号 / アーペル多様体 / Affineanalogues / Relative Trace Formake / Involutions / Linear Algelvaic Groups / Symmetric Pairs / L関数の零点 / 簡約代数群 / 対合 / 構成可能層 / 超局所化 / 超幾何関数 / L-関数 / シュバレー群 / 代数群 / 制限ルート系 / 佐武図式 / 標数2の体上の代数群 / 対称多様体 / 標数2の体 / アフィン類似 / 相対跡公式 / ラングランズ対応 / 線型代数群 / 対称対 / INTERSECTION THEORY / UNITS / SPLITTING FIELDS / JACOBIAN VARIETIES / MODELL-WEIL LATTICES / 関数体 / 交点理論 / 単数 / 分解体 / ヤコビ多様体 / sphere packing / Mardell-Weil lattices / Fermat curves / curves on a surface / relative deformation / projective spaces and hyperquadrics / maximal rationally connected fibration / Fano manifolds / Monoge-Ampere方程式 / 曲面孤立特異点 / 反射層 / 相対双対層 / モデユライ理論 / 楕円モデュラ-型式 / 一般Hecke作用素 / 一般型多様体 / KaGG"HHhlenーEinstein計量 / Hecke作用素 / 分類理論 / 有界性定理 / 有理連結性 / 球体充てん / Q上の楕円曲線 / MordellーWeil格子 / 位相型の有限性 / 相対変形理論 / 極大有理連結ファイブレ-ション / 極大有理連結部分多様体 / 球体充填 / Mordell-Weil格子 / 曲面上の曲線族 / 相対変形 / 射影空間・二次超曲面 / 極大有理連結ファイブレーション / Fano多様体 / 局所ゼータ関数 / フェルマ曲線 / 生成元 / モーデル・ヴェイユ群 / ネロン・セベリ群 / 種数 / ランク / ゼータ関数 / 消滅ルート(vanishing root) / 楕円曲線の優美族 / 高種数の代数曲線 Less

Studies of Mordell-Weil Lattices
- Principal Investigator
  
  SHIODA Tetsuji
- Project Period (FY)
  2013 – 2016
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Rikkyo University
Studies on arithmetic problems on abelian varietiesPrincipal Investigator
- Principal Investigator
  
  AOKI Noboru
- Project Period (FY)
  2006 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Rikkyo University
Mordell-Weil Lattices and Cycles on Algebraic Surfaces
- Principal Investigator
  
  SHIODA Tetsuji
- Project Period (FY)
  2005 – 2007
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Rikkyo University
Shafarevich Correspondence and Mordell-Weil Lattices
- Principal Investigator
  
  SHIODA Tetsuji
- Project Period (FY)
  2003 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  RIKKYO UNIVERSITY
Study on interrelations among quadratic forms, automorphic forms and related various zeta-functionsPrincipal Investigator
- Principal Investigator
  
  AOKI Noboru
- Project Period (FY)
  2003 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Rikkyo University
Mordell-Weil Lattices of Elliptic Curves and Abelian Varieties
- Principal Investigator
  
  SHIODA Tetsuji
- Project Period (FY)
  2000 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  RIKKYO UNIVERSITY
Study of zeta functions related to Jacobi forms and Siegel modular forms
- Principal Investigator
  
  ARAKAWA Tsuneo
- Project Period (FY)
  2000 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  RIKKYO UNIVERSITY
SYMMETRIC PAIRS
- Principal Investigator
  
  UZAWA Tooru
- Project Period (FY)
  1998 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (B).
- Research Field
  
  Algebra
- Research Institution
  RIKKYO UNIVERSITY
MORDELL-WEIL LATTICES OF JACOBIAN VARIETIES
- Principal Investigator
  
  SHIODA Tetsuji
- Project Period (FY)
  1997 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  RIKKYO UNIVERSITY
Rational points on algebraic curves and its application to number theoryPrincipal Investigator
- Principal Investigator
  
  AOKI Noboru
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  RIKKYO UNIVERSITY
モ-デル・ヴェイユ格子の理論と種々の応用
- Principal Investigator
  
  塩田徹治
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Rikkyo University
アーベル多様体の算術的理論の研究Principal Investigator
- Principal Investigator
  
  青木昇
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Rikkyo University
楕円曲線の算術的理論の研究Principal Investigator
- Principal Investigator
  
  青木昇
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  Algebra
- Research Institution
  Rikkyo University
L関の特殊値の研究Principal Investigator
- Principal Investigator
  
  青木昇
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  Algebra
- Research Institution
  Rikkyo University
モーデルヴェイユ格子の研究
- Principal Investigator
  
  SHIODA Tetuji
- Project Period (FY)
  1992
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Rikkyo University
THEORY OF ALGEBRAIC VARIETIES AND APPLICATIONS TO RELATED TOPICS
- Principal Investigator
  
  MIYAOKA Yoichi
- Project Period (FY)
  1989 – 1991
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  RIKKYO UNIVERSITY
  Tokyo Metropolitan University
数論的幾何と代数的サイクルの研究
- Principal Investigator
  
  塩田徹治
- Project Period (FY)
  1988
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Rikkyo University

All 2010 2008 2007 2006 2005 2004 2003

All Journal Article

[Journal Article] Correction and supplement to the paper "Generators of the Neron-Severi group of a Fermat surface"2010
- Author(s)
  N. Aoki, T. Shioda
- Journal Title
  
  Comment. Math. Univ. Sancti Pauli 59巻
- NAID
  110007689201
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540055
[Journal Article] On supersingular cyclic quotients of Fermat curves2008
- Author(s)
  N. Aoki
- Journal Title
  
  Comment. Math. Univ. Sancti Pauli 57巻
  
  Pages: 65-90
- NAID
  110007689213
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540055
[Journal Article] On supersingular cyclic quotients of Fermat curves2008
- Author(s)
  Noboru Aoki
- Journal Title
  
  Commentarii Mathematici Universitatis Sancti Pauli 57
  
  Pages: 65-90
- NAID
  110007689213
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540055
[Journal Article] On the zeta function of some cyclic quotients of Fermat curves2008
- Author(s)
  N. Aoki
- Journal Title
  
  Comment. Math. Univ. Sancti Pauli 57巻
  
  Pages: 163-185
- NAID
  110007689217
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540055
[Journal Article] On the zeta function of some cyclic quotients of Fermat curves2008
- Author(s)
  Noboru Aoki
- Journal Title
  
  Commentarii Mathematici Universitatis Sancti Pauli 57巻
  
  Pages: 163-185
- NAID
  110007689217
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540055
[Journal Article] On the zeta funcion of some cyclic quotients of Fermat curves2008
- Author(s)
  Noboru Aoki
- Journal Title
  
  Commentarii Mathematici Universitatis Sancti Pauli 57
  
  Pages: 163-185
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540055
[Journal Article] On supersingular cyclic quotients of Fermat curves2008
- Author(s)
  Noboru Aoki
- Journal Title
  
  Commentarii Mathematici Universitatis Sancti Pauli 57巻
  
  Pages: 65-90
- NAID
  110007689213
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540055
[Journal Article] [10]On the solvebility of a certain linear Diophantine equation with a parity condition2007
- Author(s)
  Noboru Aoki
- Journal Title
  
  Comment.Math.Univ.St.Pauli 56
  
  Pages: 71-96
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17540044
[Journal Article] On the solvability of a certain Diophantine equation with a parity condition2007
- Author(s)
  Noboru Aoki
- Journal Title
  
  Commentarii Mathematici Universitatis Sancti Pauli 56巻
  
  Pages: 71-96
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540055
[Journal Article] On the Solvability of a Certain Diophantine Equation with a Parity Condition2007
- Author(s)
  Noboru Aoki
- Journal Title
  
  Commentarii Mathematici Universitatis Sancti Pauli 56
  
  Pages: 71-96
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540055
[Journal Article] On the solvebility of a certain linear Diophantine equation with a parity condition2007
- Author(s)
  Noboru Aoki
- Journal Title
  
  Comment. Math. Univ. St. Pauli 56
  
  Pages: 71-96
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17540044
[Journal Article] On the solvability of a certain linear Diophantine equation with a parity condition2007
- Author(s)
  N. Aoki
- Journal Title
  
  Comment. Math. Univ. Sancti Pauli 56巻
  
  Pages: 71-96
- NAID
  110007689222
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540055
[Journal Article] Torsion points on CM abelian varieties2006
- Author(s)
  Noboru Aoki
- Journal Title
  
  Commentarii Mathematici Universitatis Sancti Pauli 55巻
  
  Pages: 207-229
- NAID
  110007689244
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540055
[Journal Article] Survey of Gross's conjecture and its refinements2006
- Author(s)
  N. Aoki, J. Lee
- Journal Title
  
  9巻
  
  Pages: 31-34
- Data Source
  KAKENHI-PROJECT-18540055
[Journal Article] Torsion points on CM abelian varieties2006
- Author(s)
  N. Aoki
- Journal Title
  
  Comment. Math. Univ. Sancti Pauli 55巻
  
  Pages: 207-229
- NAID
  110007689244
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540055
[Journal Article] Torsion Points on CM Abelian Varieties2006
- Author(s)
  Noboru Aoki
- Journal Title
  
  Commentarii Mathematici Universitatis Sancti Pauli 55
  
  Pages: 207-229
- NAID
  110007689244
- Data Source
  KAKENHI-PROJECT-18540055
[Journal Article] On Tate's refinement for a conjecture of Gross and its generalization2005
- Author(s)
  青木昇(Noboru Aoki)
- Journal Title
  
  J.Theorie des Nombres de Bordeaux. (To appear)
- Data Source
  KAKENHI-PROJECT-15540048
[Journal Article] The Hodge conjecture for the jacobian varieties of generalized Catalan curves2004
- Author(s)
  Noboru Aoki
- Journal Title
  
  Tokyo Journal of Mathematics 27
  
  Pages: 313-335
- Data Source
  KAKENHI-PROJECT-15540049
[Journal Article] A finiteness theorem on pure Gauss sums2004
- Author(s)
  青木昇(Noboru Aoki)
- Journal Title
  
  Comment.Math.Univ.Sancti Pauli 53
  
  Pages: 145-168
- NAID
  110007689265
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540048
[Journal Article] The Hodge conjecture for the jacobian varieties of generalized Catalan curves2004
- Author(s)
  青木昇(Noboru Aoki)
- Journal Title
  
  Tokyo J.Math. 27
  
  Pages: 313-335
- Data Source
  KAKENHI-PROJECT-15540048
[Journal Article] On the Tate-Shafarevich groups of semistable elliptic curves with a rational 3-torsion2004
- Author(s)
  Noboru Aoki
- Journal Title
  
  Acta Arithmetica 112
  
  Pages: 209-227
- Data Source
  KAKENHI-PROJECT-15540049
[Journal Article] A finiteness theorem on pure Gauss sums2004
- Author(s)
  Noboru Aoki
- Journal Title
  
  Commentarii Mathematici Universitatis Sancti Pauli 53
  
  Pages: 145-168
- NAID
  110007689265
- Data Source
  KAKENHI-PROJECT-15540049
[Journal Article] The Hodge conjecture for the jacobian varieties of generalized Catalan curves2004
- Author(s)
  N.Aoki
- Journal Title
  
  Tokyo J. Math. 27
  
  Pages: 313-335
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540049
[Journal Article] The Hodge conjecture for the jacobian varieties of generalized Catalan curves2004
- Author(s)
  青木昇(Noboru Aoki)
- Journal Title
  
  Tokyo J.Math. 27
  
  Pages: 313-335
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540048
[Journal Article] The Hodge conjecture for the jacobian varieties of generalized Catalan curves2004
- Author(s)
  N.Aoki
- Journal Title
  
  Tokyo J.Math. 27
  
  Pages: 313-335
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540049
[Journal Article] On the Tate-Shafarevich groups of semistable elliptic curves with a rational 3-torsion2004
- Author(s)
  青木昇(Noboru Aoki)
- Journal Title
  
  Acta Arithmetica 112
  
  Pages: 209-227
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540048
[Journal Article] A finiteness theorem on pure Gauss sums2004
- Author(s)
  Noboru Aoki
- Journal Title
  
  Comment.Math.Univ.Sancti Pauli
- NAID
  110007689265
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540048
[Journal Article] On Tate's refinement for a conjecture of Gross and its generalization2004
- Author(s)
  N.Aoki
- Journal Title
  
  J. Theorie des Nombres de Bordeaux 16
  
  Pages: 457-486
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540049
[Journal Article] On the Tate-Shafarevich groups of semistable elliptic curves with a rational 3-torsion2004
- Author(s)
  N.Aoki
- Journal Title
  
  Acta Arithmetica 112
  
  Pages: 209-227
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540049
[Journal Article] The Hodge conjecture for the jacobian varieties of generalized Catalan curves2004
- Author(s)
  Noboru Aoki
- Journal Title
  
  Tokyo J.Math.
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540048
[Journal Article] A finiteness theorem on pure Gauss sums2004
- Author(s)
  N.Aoki
- Journal Title
  
  Comment. Math. Univ. Sancti Pauli 53
  
  Pages: 145-168
- NAID
  110007689265
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540049
[Journal Article] On Tate's refinement for a conjecture of Gross and its generalization2004
- Author(s)
  N.Aoki
- Journal Title
  
  J.Theorie des Nombres de Bordeaux 16
  
  Pages: 457-486
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540049
[Journal Article] On the Tate-Shafarevich groups of semistable elliptic curves with a rational 3-torsion2004
- Author(s)
  Noboru Aoki
- Journal Title
  
  Acta Arithmetica
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540048
[Journal Article] A finiteness theorem on pure Gauss sums2004
- Author(s)
  N.Aoki
- Journal Title
  
  Comment.Math.Univ.Sancti Pauli 53
  
  Pages: 145-168
- NAID
  110007689265
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540049
[Journal Article] On the generalized Gross-Tate conjecture for elementary abelian 2-extensions2003
- Author(s)
  青木昇(Noboru Aoki)
- Journal Title
  
  Comment.Math.Univ.Sancti Pauli 52
  
  Pages: 197-206
- NAID
  110007689278
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540048
[Journal Article] On the generalized Gross-Tate conjecture for elementary abelian 2-extensions2003
- Author(s)
  Noboru Aoki
- Journal Title
  
  Comment.Math.Univ.Sancti Pauli
- NAID
  110007689278
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540048

1. SHIODA Tetuji (00011627)

# of Collaborated Projects: 10 results

# of Collaborated Products: 0 results
2. FUJII Akio (50097226)

# of Collaborated Projects: 6 results

# of Collaborated Products: 0 results
3. SATO Fumihiro (20120884)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
4. 河井壮一 (40062624)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
5. 木田祐司 (30113939)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
6. MIYAOKA Yoichi (50101077)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
7. 栗原将人 (40211221)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
8. 中島晴久 (90145657)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
9. 佐々井崇雄 (00094269)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
10. 辻元 (30172000)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
11. 笹倉頌夫 (20087026)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
12. 卜部東介 (70145655)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
13. 荻上絋一 (10087025)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
14. UZAWA Tooru (40232813)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
15. YAMADA Yuuji (40287917)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
16. KUROKI Gen (10234593)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
17. HASEGAWA Kouji (30208483)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
18. ARAKAWA Tsuneo (60097219)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
19. ENDO Mikihiko (40062616)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
20. OHSUGI Hidefumi (80350289)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
21. KAKEI Saburo (60318798)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

AOKI Noboru 青木 昇

青木 昇

Research Projects

Research Products

Co-Researchers

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Studies on arithmetic problems on abelian varietiesPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Study on interrelations among quadratic forms, automorphic forms and related various zeta-functionsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Rational points on algebraic curves and its application to number theoryPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

アーベル多様体の算術的理論の研究Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

楕円曲線の算術的理論の研究Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

L関の特殊値の研究Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

AOKI Noboru 青木昇

青木昇