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YAMAGUCHI Masatoshi  山内 正敏

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… Alternative Names

YAMAUTI Masatoshi  山内 正敏

山内 正俊  ヤマウチ マサトシ

YAMAUCHI Masatoshi  山内 正敏

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Researcher Number 30022651
Affiliation (based on the past Project Information) *help 2003 – 2005: 京都大学, 大学院・理学研究科, 教授
1994 – 2001: 京都大学, 総合人間学部, 教授
1995: 京都大学, 総合人間学部, 助教授
1988 – 1991: 京都大学, 教養部, 助教授
Review Section/Research Field
Principal Investigator
代数学・幾何学
Except Principal Investigator
Algebra / 代数学・幾何学 / 解析学 / Basic analysis / Geometry / Algebra / Geometry
Keywords
Principal Investigator
flagmanifold / Representation of Lie groups / Kahler manifold / Hecke operator / Representation of quaternions / Gauss sum / L-function / Prehomogenous Space / 離散系列表現 / 解析的変換 … More / Weil Petersson計量 / moduli空間 / コンパクトケ-ラ-多様体 / ノルム写像 / σ-共役類 / ハッセの原理 / 岩堀、ヘッケ代数 / ホッジ多様体 / モジュライ空間 / 旗多様体 / リ-群の表現 / ケ-ラ-多様体 / ヘッケ作用素 / 四元数環の表現 / ガウス和 / L関数 / 概均質ベクトル空間 … More
Except Principal Investigator
球関数 / ゼータ関数 / 球等質空間 / 保型形式 / 概均質ベクトル空間 / 対称空間 / zeta function / prehomogeneous vector space / 複素力学系 / 4次元多様体 / 代数群 / Hasse principle / Eta multiplier / Freudenthal quartics / ベルンシュタイン次数 / 新谷関数 / ジーゲル保型形式 / ヘッケ環 / Gauss sum / ガウス和 / 幾何構造 / Hecke環 / ジュリア集合 / 楕円曲面 / Seiberg-Witten理論 / 超越数 / 表現論 / Arithmetic-geometric mean of Gauss / Higher derivation (of rings) / hypoelliptic operator / Huygens principle / trace value / non-integrable element / higher derivation / Arith metic mean of Gauss / Higher derivation(of rings) / Fractional parts / Rational approximation / Uniform distribution / Salem numbers / Pisot numbers / Algebraic integers / Transcendental numbers / Kronecker行列式 / 代表的整数 / Mahler測度 / 有理近似 / 小数部分 / 有利近似 / 一様分布 / Salem数 / Pisot数 / 代数的整数 / intersection form / Dehn surgery / Seiberg-Witten theory / V manifold / Dirac operator / Seifert manifold / homology 3-sphere / four-dimensinal manifold / 双曲構造 / Fukumoto-Furuta不変量 / ホモロジー球面 / ディラック作用素 / 交叉形式 / デーン手術 / V多様体 / ディラック手術 / ザイフェルト多様体 / ホモロジー3球面 / Weyl groups / distinguished representations / spherical homogenous spaces / symmetric spaces / spherical functions / admissible representations / reductive groups / p-adic fields / Macdonald公式 / ルート系 / Wey1群 / p-進群 / 放物型部分群 / 尖点表現 / 部分表現定理 / 認容表現 / Weyl群 / distinguished表現 / 許容表現 / 簡約群 / p-進体 / Shintani function / theta correspondence / Siegel cusp form / degenerate Whittaker vector / explicit formula / 旗多様体 / 半単純リー群 / Siegel保型形式 / エンドスコピー / 退化Whittakerベクトル / nonsaturated概均質ベクトル空間 / 概均質ベクトル空間のゼータ関数 / 絶対ガロア群 / 写像類群 / Yoshida lifting / Kocher-Maass級数 / unsaturated概均質ベクトル空間 / テータ対応 / 退化ホイッタカベクトル / フロイデンタール4次式 / 明示公式 / Orbit / Spherical homogeneous space / Symmetric space / Special function / Spherical function / Algebraic group / Representation theory / 軌道分解 / ワイル群 / リー群 / 特殊関係 / 軌道 / 特殊関数 / Cohen-Macaulay module / Kawanaka invariant / Bernstein degree / double coset decomposition / sperical subgroup / functionsl equation / 特異ユニタリ表現 / カルタン分解 / 軌道上のゼータ関数 / コーエン-マコーレイ環 / 川中不変量 / 両側剰余類分解 / 球部分群 / 関数等式 / Gaussian process / Riemann zeta function / Julia set / Complex dynamical system / Saddle point method / Irrationality / Legendre polynomial / Pade approximation / モノドロミ-保存変形 / 準楕円性 / Navier-Stokes流 / ADSL / 進化ゲーム理論 / サドル法 / ガウス過程 / 鞍部点法 / 無理数 / ルジャンドル多項式 / パデ近似 / Hecke ring / sphrical function / speherical homogeneous space / dimension formula / Siegel modular form / 対称行列の空間 / フーリエ係数 / コーエンマコーレー加群 / 次元公式 / ゼータ-関数 / シ-ゲル保型形式 / CM module / Unitary representation / Lie superalgebra / Geometric structure / 4-Manifold / 双対性 / ヘッケ代数 / エグゾ-ティツ構造 / ブロ-イングアップ / CMー加群 / キバーの表現論 / ブックスバウム加群 / 微分同相写像 / CM加群 / ユニタリー表現 / リー超代数 / automorphic form / prehomogeneous space / analytic transformation / differentiable structure / Seifert fibering space / parabolic vector bundle / Kahler-Einstein metric / Hyperkahler structure / モッグス束 / モ-メント写像 / ホッヂ多様体, / ヴェ-ユ・ペ-タ-ソン計量 / extremal計量, / ケ-ラ-多様体 / モジュライ空間 / 局所対称空間 / 概均質空間 / 解析変換 / 微分構造 / ザイフェルトファイバ-空間 / 放物ベクトル束 / ケ-ラ-・アインシュタイン計量 / ハイパ-ケ-ラ-構造 / 算術幾何平均 / 二重対数関数 / 一次元力学系 / マーラー関数 / 和公式 / 対数関数 / 無理数度 / ヂォファントス近似 / 保型L関数 Less
  • Research Projects

    (15 results)
  • Co-Researchers

    (27 People)
  •  The study of low-dimensional manifolds with various geometric structures

    • Principal Investigator
      UE Masaaki
    • Project Period (FY)
      2004 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Kyoto University
  •  Research for rational approximation to transcendental numbers

    • Principal Investigator
      HARA Masayoshi
    • Project Period (FY)
      2004 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      KYOTO UNIVERSITY
  •  Representation theoretic research of spherical functions on p-adic homogeneous spaces

    • Principal Investigator
      KATO Shin-ichi
    • Project Period (FY)
      2003 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Kyoto University
  •  On zeta functions of prehomogeneous vector spaces

    • Principal Investigator
      SAITO Hiroshi
    • Project Period (FY)
      1999 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      KYOTO UNIVERSITY
  •  Representation-theoretic study of spherical functions arising from number theory

    • Principal Investigator
      KATO Shinichi
    • Project Period (FY)
      1998 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      KYOTO UNIVERSITY
  •  Pade type approximation and its application to the number theory

    • Principal Investigator
      HATA Masayoshi
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      解析学
    • Research Institution
      KYOTO UNIVERSITY
  •  On zeta functions of prehomogeneous vector spaces

    • Principal Investigator
      SAITO Hiroshi
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      KYOTO UNIVERSITY
  •  種々の幾何構造をもつ多様体のトポロジーの研究

    • Principal Investigator
      UE Masaki
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Kyoto University
  •  代数群ヘッケ環の表現とその応用

    • Principal Investigator
      KATO Shinichi
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Kyoto University
  •  有理近似および超越数の研究

    • Principal Investigator
      HATA Masayoshi
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Kyoto University
  •  Arithmetic research of automorphic functions

    • Principal Investigator
      SAITO Hiroshi
    • Project Period (FY)
      1994 – 1996
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      KYOTO UNIVERSITY
  •  Commutative rings of analysis and others

    • Principal Investigator
      AKIBA Tomoharu
    • Project Period (FY)
      1991 – 1992
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      KYOTO UNIVERSITY
  •  Study of the stability theory of polarized compact Kahler manifolds

    • Principal Investigator
      FUJIKI Akira
    • Project Period (FY)
      1990 – 1991
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Kyoto University
  •  Automorphic Forms and Number TheoryPrincipal Investigator

    • Principal Investigator
      YAMAUCHI Masatoshi
    • Project Period (FY)
      1989 – 1990
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Kyoto University
  •  The study of commutative rings and its related areas

    • Principal Investigator
      AKIBA Tomoharu
    • Project Period (FY)
      1987 – 1988
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Kyoto University
  • 1.  SAITOU Hiroshi (20025464)
    # of Collaborated Projects: 10 results
    # of Collaborated Products: 0 results
  • 2.  KATO Shinichi (90114438)
    # of Collaborated Projects: 9 results
    # of Collaborated Products: 0 results
  • 3.  NISHIYAMA Kyo (70183085)
    # of Collaborated Projects: 7 results
    # of Collaborated Products: 0 results
  • 4.  MATUKI Toshiko (20157283)
    # of Collaborated Projects: 6 results
    # of Collaborated Products: 0 results
  • 5.  UEDA Tetuo (10127053)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 6.  GYOUJYA Akihiko (50116026)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 7.  UE Masaki (80134443)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 8.  AKIBA Tomoharu (60027670)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 9.  YOSHINO Yuji (00135302)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 10.  SAKURAGAWA Takashi (60196136)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 11.  HATA Masayoshi (40156336)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 12.  NISHIWADA Kimimasa (60093291)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 13.  USHIKI Shigehiro (10093197)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 14.  KONO Norio (90028134)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 15.  IMANISHI Hideki (90025411)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 16.  FUJIKI Akira (80027383)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 17.  SUZUKI Satosi (60026739)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 18.  MORIMOTO Yoshinori (30115646)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 19.  TAKASAKI Kanehisa (40171433)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 20.  浅野 潔 (90026774)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 21.  武内 章 (40026761)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 22.  MATSUMOTO Makoto (70231602)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 23.  立木 秀樹 (10211377)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 24.  MURASE Atsushi (40157772)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 25.  TAKANO Keiji (40332043)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 26.  FUJII Michihiko (60254231)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 27.  NAGATA Makoto (30293971)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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