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ARAKAWA Tsuneo  荒川 恒男

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… Alternative Names

荒川 恒男  アラカワ ツネオ

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Researcher Number 60097219
Affiliation (based on the past Project Information) *help 1993 – 2003: 立教大学, 理学部, 教授
1990 – 1991: 立教大学, 理学部, 助教授
1986 – 1987: 立教大学, 理学部, 助教授
Review Section/Research Field
Principal Investigator
Algebra / 代数学・幾何学
Except Principal Investigator
Algebra / 代数学・幾何学 / General mathematics (including Probability theory/Statistical mathematics)
Keywords
Principal Investigator
概均質ベクトル空間 / Jacobi形式 / 弱球等質空間 / Eisenstein級数 / Maass wave forms / prehomogeneous vector space / Jacobi forms / b-関数 / 保型形式 / Maass波形式 … More / 多重ゼータ値 / 関数等式 / アイゼンシュタイン級数 / ヤコビー形式 / multiple zeta values / Siegel公式 / Selberg zeta関数 / Selberg跡公式 / b-function / multiple L-values / prime geodesic theorem / Selberg zeta functions / modular forms / Gamma行列 / 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 / Fermat曲線 / 多重L値 / 素測地線定理 / spherical homogeneous space / functional equation / Koecher Maass series / Siegel modular forms / Eisenstein series / poly-Bernoulli数 / 多重ゼーダ値 / Cohen Eisenstein級数 / Koecher-Maassゼーダ関数 / Imaiの逆定理 / 局所密度 / sun formula / Saito-Kurokawa lift / Siegel保型形式 / Koecher-Maass級数 / 半整数ジーゲル保型形式 / 零点の分布 / P進体 / 球フーリエ変換 / 対称形式 / エルミート形式 / 2次2次式形式のゼータ関数 / L-関数 / P進関数 / 半整数保型形式 / ゼータ関数 / Siegelの公式 / 球関数 / Mass formula / Weyl幾何 / Siegel formula / Rankin convolution / standard L-関数 / Lー関数 / 楕円曲線 / Chowla予想 / Selbergゼ-タ関数 / Hecke作用素 / ヤコビ-形式 … More
Except Principal Investigator
概均質ベクトル空間 / ゼータ関数 / アイゼンシュタイン級数 / 保型形式 / 球関数 / Eisenstein series / L関数 / 球等質空間 / prehomogeneous vector spaces / automorphic form / Siegel保型形式 / Automorphic forms / L-function / L-関数 / 二次形式 / 楕円曲線 / spherical function / prehomogeneous vector space / アイゼンシュタイシ級数 / 表現論 / Poly-Bernoulli numbers / Multiple Zeta Functions / Multiple L Values / Multiple Zeta Values / 結び目不変量 / 多重ベルヌーイ数 / 多重ゼータ関数 / 多重L値 / 多重ゼータ値 / dimension formula / arithmetic / number theory / Zeta function / ディリクレ波数 / アイゼンシスタイン釈数 / 概均質ペクトル空間 / 伴型形式 / ディリクレ級数 / アイロンシュタイン整数 / 次元公式 / 算術的 / 整数論 / Koecher-Maass zeta function / local density / weakly spherical homogeneous space / functional equation / zeta function / 対称空間 / ゼ-ダ関数 / Jacobi Eisenstein級数 / Koecher-Maass級数 / p-進球関数 / Koecher-Maassゼータ関数 / 局所密度 / 関数等式 / 弱球等質空間 / Special functions / Modular forms / Spherical functions / L-functions / 特殊関数 / モジュラー形式 / L^^<エル>関数 / harmonic analysis / spherical functions / automorphic forms / 跡公式 / 調和解析 / 量指標のL-関数 / ジーゲル保型形式 / クロネツカー極限公式 / リーマンゼータ関数 / P進解析関数 / ユニタリ最高ウェイト表現 / Shimura 対応 / セルバーグ跡公式 / ポアッソン変換 / 擬リーマン対称空間 / 周期 / コンピュータ整数論 / リーマン・ゼータ(エプスタイン・ゼータ) / ゼロ点分布 / 3次曲面 / ワイヤストラマ変換 / チェボタレフ密度定理 / モ-デル・ヴェイユ格子 / 数体ふるい法 / 素因数分解 / 2次形式 / Siegelの定理 / Relinctive代数群 / Selherg zetu関数 / Eisenstein級数 / リ-アンゼ-タ関数 Less
  • Research Projects

    (19 results)
  • Co-Researchers

    (26 People)
  •  擬リーマン対称空間上の数論的解析学

    • Principal Investigator
      佐藤 文廣
    • Project Period (FY)
      2001 – 2002
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      Algebra
    • Research Institution
      Rikkyo University
  •  A study on relations between the theory of prehomogeneous vector spaces, the theory of group representations and the theory of automorphic forms

    • Principal Investigator
      SATO Fumihiro
    • Project Period (FY)
      2000 – 2003
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      RIKKYO UNIVERSITY
  •  Study of zeta functions related to Jacobi forms and Siegel modular formsPrincipal Investigator

    • 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
  •  Theory of automorphic forms and arithmetic into functions

    • Principal Investigator
      IBUKIYAMA Tomoyashi
    • Project Period (FY)
      1998 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (B).
    • Research Field
      Algebra
    • Research Institution
      Osaka University
  •  STUDY OF MULTIPLE ZETA VALUES

    • Principal Investigator
      KANEKO Masanobu
    • Project Period (FY)
      1998 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (B).
    • Research Field
      Algebra
    • Research Institution
      KYUSHU UNIVERSITY
  •  Arithmetic of automorphic forms of many variable : reconstruction of the foundation

    • Principal Investigator
      ODA Takayuki
    • Project Period (FY)
      1997 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      The University of Tokyo
  •  Zeta functions on weakly spherical homogeneous spaces

    • Principal Investigator
      SATOU Fumihiro
    • Project Period (FY)
      1997 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Rikkyo University
  •  Studies related with special values of various arithmetic functionsPrincipal Investigator

    • Principal Investigator
      ARAKAWA Tsuneo
    • Project Period (FY)
      1997 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      RIKKYO UNIVERSITY
  •  ヤコビー形式に関連した数論的関数の研究Principal Investigator

    • Principal Investigator
      荒川 恒男
    • 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
  •  ヤコビー形式と半整数保型形式の研究Principal Investigator

    • Principal Investigator
      荒川 恒男
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Rikkyo University
  •  L-function of automorphic forms of many variables, Selberg trace fromula, and related harmonic analysis.

    • Principal Investigator
      ODA Takayuki
    • Project Period (FY)
      1995 – 1996
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      the University of Tokyo
  •  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

    • 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
  •  ヤコビ-形式の研究Principal Investigator

    • Principal Investigator
      荒川 恒男
    • Project Period (FY)
      1991
    • 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
      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
  •  保型形式に関連するL-関数の研究Principal Investigator

    • 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
    • Research Institution
      Rikkyo University
  •  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
  • 1.  SATOU Fumihiro (20120884)
    # of Collaborated Projects: 13 results
    # of Collaborated Products: 0 results
  • 2.  ENDOU Mikihiko (40062616)
    # of Collaborated Projects: 9 results
    # of Collaborated Products: 0 results
  • 3.  藤井 昭雄 (50097226)
    # of Collaborated Projects: 7 results
    # of Collaborated Products: 0 results
  • 4.  比嘉 達夫 (00150748)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 5.  木田 祐司 (30113939)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 6.  HIRONAKA Yumiko (10153652)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 7.  IBUKIYAMA Tomoyoshi (60011722)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 8.  落合 啓之 (90214163)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 9.  ODA Takayuki (10109415)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 10.  SUGANO Takashi (30183841)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 11.  SAITO Hiroshi (20025464)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 12.  塩田 徹治 (00011627)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 13.  YAMADA Yuji (40287917)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 14.  宇澤 達 (40232813)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 15.  YAMAZAKI Tadashi (30011696)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 16.  MURASE Atsushi (40157772)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 17.  筧 三郎 (60318798)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 18.  本田 欣也 (20062440)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 19.  小池 正夫 (20022733)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 20.  TAKASE Kouichi (60197093)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 21.  KATSUNADA Hidenori (80133792)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 22.  KANEKO Masanobu (70202017)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 23.  TAKATA Toshie (40253398)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 24.  HANAMURA Masaki (60189587)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 25.  GYOJA Akihoko (50116026)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 26.  AOKI Noboru (30183130)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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