FUJII Akio 藤井昭雄

… Alternative Names

藤井昭雄フジイアキオ

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Researcher Number	50097226
Affiliation (based on the past Project Information) *help	1998 – 2009: 立教大学, 理学部, 教授 2005 – 2006: 立教大学, 大学院・理学研究科, 教授 1996: 立教大学, 理学部, 教授 1992 – 1995: 立教大学, 理学部, 助教授 1986 – 1990: 立教大学, 理学部, 助教授
Review Section/Research Field	Principal Investigator General mathematics (including Probability theory/Statistical mathematics) Except Principal Investigator Algebra / 代数学・幾何学 / Algebra
Keywords	Principal Investigator リ-アンゼ-タ関数 / Eisenstein級数 / Selherg zetu関数 / 概均質ベクトル空間 / Relinctive代数群 / Siegelの定理 / 2次形式 Except Principal Investigator 概均質ベクトル空間 / ゼータ関数 / 楕円曲線 … More / 保型形式 / 周期 / リーマンゼータ関数 / 球関数 / 楕円曲面 / アイゼンシュタイン級数 / モ-デル・ヴェイユ格子 / Eisenstein級数 / 二次形式 / アーベル多様体 / ヤコビ和 / L関数 / モーデル・ヴェイユ群 / L-関数 / CM-period / L函数 / Automorphic form / L-function / 対称空間 / ゼ-タ関数 / モーデル・ヴェイユ格子 / 高種数の代数曲線 / 楕円曲線の優美族 / 消滅ルート(vanishing root) / 素因数分解 / 数体ふるい法 / チェボタレフ密度定理 / ワイヤストラマ変換 / 3次曲面 / ゼロ点分布 / リーマン・ゼータ(エプスタイン・ゼータ) / コンピュータ整数論 / Jacobi形式 / standard L-関数 / Rankin convolution / Siegel formula / 弱球等質空間 / Weyl幾何 / 球等質空間 / 代数曲線 / ランク / 種数 / 数論 / ガウス和 / フェルマー曲面 / 代数的サイクル / Hecke L関数 / Riemann予想 / Davenpot和 / フェルマー曲線 / p進ガンマ関数 / Farey数列 / ディオファンタス方程式 / ファレイ数列 / 虚数乗法論 / リーマン予想 / P進解析関数 / クロネツカー極限公式 / ジーゲル保型形式 / 量指標のL-関数 / 2次2次式形式のゼータ関数 / エルミート形式 / 対称形式 / 球フーリエ変換 / P進体 / 零点の分布 / ネロン・セベリ群 / 生成元 / フェルマ曲線 / 局所ゼータ関数 / 対称対 / 線型代数群 / ラングランズ対応 / 相対跡公式 / アフィン類似 / 標数2の体 / 対称多様体 / 標数2の体上の代数群 / 佐武図式 / 制限ルート系 / 代数群 / シュバレー群 / 超幾何関数 / 超局所化 / 構成可能層 / 対合 / 簡約代数群 / L関数の零点 / Symmetric Pairs / Linear Algelvaic Groups / Involutions / Relative Trace Formake / Affineanalogues / 零点 / モティーフ / zeros of L-functions / Gross予想 / Tate-Shaferevich群 / Fermat曲線 / グレブナー基底 / テイト・シャファレヴィッチ群 / 局所密度 / トーリック多様体 / Tate-Safarevich群 / トーリック環 / トーリックイデアル / Gross conjecture / elliptic curve / Tate-Shafarevich group / Fermat curve / Jacobi sum / prehomogenous vector space / Riemann zeta function / Groebner basis / モチーフ / 志村・谷山予想 / Absolute CM-period / L函数の特殊値 / Gross-Prasad予想 / Period Less

Studies on arithmetic problems on abelian varieties
- 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
Research on periods, L-functions and automorphic forms
- Principal Investigator
  
  YOSHIDA Hiroyuki
- Project Period (FY)
  2004 – 2007
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Kyoto University
Study on interrelations among quadratic forms, automorphic forms and related various zeta-functions
- 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
Research on special values and zeros of L-funcions and on automorphic forms
- Principal Investigator
  
  YOSHIDA Hiroyuki
- Project Period (FY)
  2001 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Kyoto 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
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
弱球等質空間上のアイゼンシュタイン級数
- Principal Investigator
  
  佐藤文広
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Rikkyo University
数の幾何学とモ-デル・ヴェイユ格子
- Principal Investigator
  
  塩田徹治
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Rikkyo University
ヤコビー形式の整数論
- Principal Investigator
  
  荒川恒男
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Rikkyo University
素因数分解法
- Principal Investigator
  
  木田祐司
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Rikkyo University
モーデルヴェイユ格子の研究
- Principal Investigator
  
  塩田徹治
- 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
整数論と調和解析Principal Investigator
- Principal Investigator
  
  藤井昭雄
- Project Period (FY)
  1990
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Rikkyo University
等質空間上のゼ-タ関数の研究
- Principal Investigator
  
  SATO Fumihiro
- Project Period (FY)
  1989
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Rikkyo 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
保型形式に関連するL-関数の研究
- Principal Investigator
  
  荒川恒男
- Project Period (FY)
  1987
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
代数体および局所体上の整数論にあらわれる特殊関数の研究
- Principal Investigator
  
  遠藤幹彦
- Project Period (FY)
  1986
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Rikkyo University

All 2009 2007 2006 2005 2004 Other

All Journal Article

[Journal Article] Oscillations, Pseudorandomness and Hecke L-functions2009
- Author(s)
  Akio Fujii
- Journal Title
  
  Commentarii Math.Univ.Sancti Pauli 58
  
  Pages: 119-167
- NAID
  110007689208
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540055
[Journal Article] Oscillations, Pseudorandomness and Hecke L-functions2009
- Author(s)
  A. Fujii
- Journal Title
  
  Comment. Math. Univ. Sancti Pauli 58巻
  
  Pages: 119-167
- NAID
  110007689208
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540055
[Journal Article] Oscillations, Pseudorandomness And Davenport's formula2009
- Author(s)
  A. Fujii
- Journal Title
  
  Comment. Math. Univ. Sancti Pauli 58巻
  
  Pages: 169-187
- Data Source
  KAKENHI-PROJECT-18540055
[Journal Article] Oscillations, Pseudorandomness and Davenport's formula2009
- Author(s)
  Akio Fujii
- Journal Title
  
  Commentarii Math.Univ.Sancti Pauli 58
  
  Pages: 168-187
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540055
[Journal Article] On the Faray series and the Hecke L-functions2007
- Author(s)
  Akio Fujii
- Journal Title
  
  Commentarii Mathematici Universitatis Sancti Pauli 56巻
  
  Pages: 97-162
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540055
[Journal Article] On the Faray Series and the Hecke L-functions2007
- Author(s)
  Akio Fujii
- Journal Title
  
  Commentarii Mathematici Universitatis Sancti Pauli 56
  
  Pages: 97-162
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540055
[Journal Article] On the Farray series and the Hecke L-functions2007
- Author(s)
  A. Fujii
- Journal Title
  
  Comment. Math. Univ. Sancti Pauli 56巻
  
  Pages: 97-162
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540055
[Journal Article] A note on the distribution of argument of the Riemann zeta function2006
- Author(s)
  A. Fujii
- Journal Title
  
  Comment. Math. Univ. Sancti Pauli 55巻
  
  Pages: 135-147
- NAID
  110007689240
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540055
[Journal Article] A Note on the Distribution of Argument of the Riemann Zeta Function2006
- Author(s)
  Akio Fujii
- Journal Title
  
  Commentarii Mathematici Universitatis Sancti Pauli 55
  
  Pages: 135-147
- NAID
  110007689240
- Data Source
  KAKENHI-PROJECT-18540055
[Journal Article] On the Farey series and the Riemann Hypothesis2005
- Author(s)
  A.Fujii
- Journal Title
  
  Commentarii Mat. Univ. Soncty Pauli 54
  
  Pages: 211-235
- NAID
  110007689256
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540049
[Journal Article] On the Farey series and the Riemann Hypothesis,2005
- Author(s)
  Akio Fujii
- Journal Title
  
  Commentarii Mat.Univ.Sancti Pauli, 2005 54
  
  Pages: 211-235
- NAID
  110007689256
- Data Source
  KAKENHI-PROJECT-15540049
[Journal Article] An explicit estimate in the theory of the distribution of the zeros of the Riemann zeta function2004
- Author(s)
  Akio Fujii
- Journal Title
  
  Comment.Math.Univ.St.Pauli 53
  
  Pages: 85-114
- NAID
  110007689261
- Data Source
  KAKENHI-PROJECT-16340006
[Journal Article] An explicit estimate in the theory of Distribution of the zeros of the Riemann zeta function2004
- Author(s)
  Akio Fujii
- Journal Title
  
  Commentarii Mathematici Universitatis Sancti Pauli 53
  
  Pages: 85-114
- NAID
  110007689261
- Data Source
  KAKENHI-PROJECT-15540049
[Journal Article] On the Farey series and the Riemann Hypothesis
- Author(s)
  A.Fujii
- Journal Title
  
  Commentarii Mat.Univ.Sancti Pauli 54
  
  Pages: 211-235
- NAID
  110007689256
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540049

1. SATO Fumihiro (20120884)

# of Collaborated Projects: 10 results

# of Collaborated Products: 0 results
2. 荒川恒男 (60097219)

# of Collaborated Projects: 7 results

# of Collaborated Products: 0 results
3. 塩田徹治 (00011627)

# of Collaborated Projects: 6 results

# of Collaborated Products: 0 results
4. AOKI Noboru (30183130)

# of Collaborated Projects: 6 results

# of Collaborated Products: 0 results
5. 比嘉達夫 (00150748)

# of Collaborated Projects: 4 results

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

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
7. 遠藤幹彦 (40062616)

# of Collaborated Projects: 4 results

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8. 落合啓之 (90214163)

# of Collaborated Projects: 2 results

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9. 河井壮一 (40062624)

# of Collaborated Projects: 2 results

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10. YOSHIDA Hiroyuki (40108973)

# of Collaborated Projects: 2 results

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11. UMEDA Toru (00176728)

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12. HIRAGA Kaoru (10260605)

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13. IKEDA Tamotsu (20211716)

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14. 宮岡洋一 (50101077)

# of Collaborated Projects: 1 results

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15. 本田欣也 (20062440)

# of Collaborated Projects: 1 results

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16. 小林由美子 (10153652)

# of Collaborated Projects: 1 results

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17. UZAWA Tooru (40232813)

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18. YAMADA Yuuji (40287917)

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19. KUROKI Gen (10234593)

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20. HASEGAWA Kouji (30208483)

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21. FUJIWARA Kazuhiro (00229064)

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22. OHSUGI Hidefumi (80350289)

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23. FURUSAWA Masaaki (50294525)

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24. 加藤文元 (50294880)

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25. 山崎愛一 (10283590)

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FUJII Akio 藤井 昭雄

藤井 昭雄 フジイ アキオ

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FUJII Akio 藤井昭雄

藤井昭雄フジイアキオ