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Murase Atsushi  村瀬 篤

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… Alternative Names

村瀬 篤  ムラセ アツシ

MURASE Atsushi  村瀬 篤

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Researcher Number 40157772
Other IDs
External Links
Affiliation (Current) 2020: 京都産業大学, 理学部, 教授
Affiliation (based on the past Project Information) *help 2020: 京都産業大学, 理学部, 教授
1995 – 2018: 京都産業大学, 理学部, 教授
2010: 京都産業大学, 理工学部, 教授
2007: 京都産業大学, 理工学部, 教授
1992 – 1994: 京都産業大学, 理学部, 助教授
Review Section/Research Field
Principal Investigator
Algebra / Algebra / Basic Section 11010:Algebra-related
Except Principal Investigator
Algebra / Algebra / General mathematics (including Probability theory/Statistical mathematics) / 代数学・幾何学 / 解析学
Keywords
Principal Investigator
保型形式 / 代数群 / 保型L関数 / テータリフト / 対称性 / Borcherds積 / ユニタリ群 / theta lift / 周期 / 多変数保型形式 … More / 整数論 / 保型L-関数 / Eisenstein級数 / フーリエ展開 / 国際研究者交流 / ヤコビ形式 / 無限積 / metaplectic representation / algebraic group / automorphic L-function / Kudla lift / Hecke作用素 / 古典群 / テ-タ関数 / メタプレクティック表現 / Poincare級数 / ボーチャーズ積 / Borcherdsリフト / 積対称性 / 四元数環 / オマーン / ジーゲル・テータ級数 / ヒルベルトモジュラー形式 / ヘッケ作用素 / Borcherds lift / L関数 / ドイツ:オマーン / ドイツ:オマーン / アフィンリー環 / Kac-Moodyリー代数 / ベクトル系 / affine Lie algebra / 完全再生可能性 / Fourier-Jacobi 展開 / Metapletic 表現 / Heisenberg 群 / テータ リフト / Howe 対応 / Fourier-Jacobi展開 / Metaplectic表現 / Heisenberg群 / Weil表現 / L-関数の特殊値 / automorphic forms / Fourier-Jacobi expansion / Heisenberg goup / Howe correspondence / ユニタリ群上の保型形式 / Siegel-Weil公式 / 保型形式の周期 / Sigel-Weil公式 / 四元数ユニタリ群上の保型形式 / ゼータ関数 / テータ級数 / Automorphic forms on unitary groups / Siegel Weil formula / Periods of automorphic forms / Automorphic L-functions / フーリエ係数 / automorphic form / Fourier coefficients / period / モジュラー曲線 / モジュラー多項式 / 完全再生可能関数 / アフィン・リー環 / 2次ジーゲル保型形式 / 斎藤-黒川リフティング / 四元数ユニタリ群 / 分岐則 / ヤコビ保型形式 / 保型L関数の特殊値 … More
Except Principal Investigator
保型形式 / 球関数 / spherical functions / L-関数 / automorphic forms / 保型L関数 / Automorphic forms / Spherical functions / automorphic form / モジュラー形式 / modular forms / L-functions / Hecke環 / root(L) / deg(L) / 新谷関数 / テータ関数 / Weil表現 / Shintani function / theta function / Weil representation / Green currents / modular cycle / 葉層 / コンパクト葉 / 摂動 / 安定 / クラインの壺 / ホロノミー群 / オイラー数 / R^P-作用 / リーマン面 / 調和測度 / 理想境界 / 極値的長さ / 正規作用素 / 型 / 項 / 構成的体系 / 正規性 / 型のモデル / automorphic forms,球関数 / spherical functions, Whittaker関数 / Whittaker functions,モジュラー多様体 / modular varieties,不連続群 / discrete subgroups / 級関数 / 行列係数 / ホッヂ構造 / モジュライ空間 / Picardモジュラー形式 / moduli spaces / spherical functions on Lie groups / ユニタリ群 / ヤコビ形式 / 保型L関数 / 調和解析 / 跡公式 / L-function / harmonic analysis / L^^<エル>関数 / 特殊関数 / L関数 / Modular forms / Special functions / ヘッケ環 / Hecke algebra / spherical function / 原始語 / 文脈自由言語 / 正規言語 / 決定問題 / 回文 / ペトリネット / ペトリネット言語 / プレフィックス・コード / CPN言語 / 非決定性有向オートマトン / 稠密文脈自由言語 / 星型積 / 形式言語 / 非決定問題 / オートマトン / シャッフル演算 / primitive word / context-free language / regular language / decidability problem / palindrome / Petri net / データ関数 / automorphic L function / Whittaker関数 / modular cycles / locally symmetric spaces / Green functions / Automorhic forms / Whittaker functions / automorphic L-function / p-進体 / 簡約群 / 許容表現 / 対称空間 / 球等質空間 / distinguished表現 / Weyl群 / 認容表現 / 部分表現定理 / 尖点表現 / 放物型部分群 / p-進群 / Wey1群 / ルート系 / Macdonald公式 / p-adic fields / reductive groups / admissible representations / symmetric spaces / spherical homogenous spaces / distinguished representations / Weyl groups / 実解析的保型形式 / 逆定理 / テータリフト / 実双曲空間 / 特殊Bessel模型 / 局所Maass関係式 / 非緩増加な保型形式 / 保型形式のリフティング / 直交群 / Ramanujan予想の反例 / リフティング / 実解析的カスプ形式 / 偶ユニモジュラー格子 / 階数1の直交群 / Maassの逆定理 / 保型表現 / テータリフティング / 特異テータリフティング / 有限群の不変量 / 4次元トポロジー Less
  • Research Projects

    (25 results)
  • Research Products

    (59 results)
  • Co-Researchers

    (48 People)
  •  Branching laws for Jacobi modular forms: periods and specai L-valuesPrincipal InvestigatorOngoing

    • Principal Investigator
      村瀬 篤
    • Project Period (FY)
      2020 – 2022
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 11010:Algebra-related
    • Research Institution
      Kyoto Sangyo University
  •  階層構造付き対称性を持つ多変数保型形式の研究Principal InvestigatorOngoing

    • Principal Investigator
      村瀬 篤
    • Project Period (FY)
      2017 – 2019
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Kyoto Sangyo University
  •  Various constructions of real analytic automorphic forms on real hyperbolic spaces and their application to various research fields

    • Principal Investigator
      Narita Hiro-aki
    • Project Period (FY)
      2016 – 2018
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Waseda University
      Kumamoto University
  •  Studies on symmetries for automorphic forms and Borcherds productsPrincipal Investigator

    • Principal Investigator
      MURASE Atsushi
    • Project Period (FY)
      2014 – 2016
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Kyoto Sangyo University
  •  Arithmetic invariants and automorphic L-functions for automorphic forms of several variablesPrincipal Investigator

    • Principal Investigator
      MURASE Atsushi
    • Project Period (FY)
      2011 – 2013
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Kyoto Sangyo University
  •  Unitary Jacobi forms and primitive theta functions

    • Principal Investigator
      SUGANO Takashi
    • Project Period (FY)
      2010 – 2012
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Kanazawa University
  •  On automorphic forms on algebraic groups: Arithmetic invariants and automorphic L-functionsPrincipal Investigator

    • Principal Investigator
      MURASE Atsushi
    • Project Period (FY)
      2008 – 2010
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Kyoto Sangyo University
  •  Analysis, geometry and arithmetic of automorphic forms of many variables and higher dimensional modular varieties

    • Principal Investigator
      ODA Takayuki
    • Project Period (FY)
      2007 – 2010
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Algebra
    • Research Institution
      The University of Tokyo
  •  Study on arithmetic invariants attached to automorphic formsPrincipal Investigator

    • Principal Investigator
      MURASE Atsushi
    • Project Period (FY)
      2006 – 2007
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Kyoto Sangyo 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
  •  Constructive geometry of arithmetic quotients of symmetric spaces

    • Principal Investigator
      ODA Takayuki
    • Project Period (FY)
      2002 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      The University of Tokyo
  •  Study on automorphic forms, automorphic L-functions and Shintani functions.

    • Principal Investigator
      SUGANO Takashi
    • Project Period (FY)
      2002 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Kanazawa University
  •  Study on automorphic forms on algebraic groups and associated zeta functionsPrincipal Investigator

    • Principal Investigator
      MURASE Atsushi
    • Project Period (FY)
      2001 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Kyoto Sangyo University
  •  Study on automorphic forms, automorphic L functions and Shintani functions.

    • Principal Investigator
      SUGANO Takashi
    • Project Period (FY)
      1999 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Kanazawa University
  •  Formal Languages, Codes and Cryptosystems

    • Principal Investigator
      ITO Masami
    • Project Period (FY)
      1998 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (B).
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Kyoto Sangyo University
  •  Poincare級数とIiftingに関する研究Principal Investigator

    • Principal Investigator
      村瀬 篤
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      Algebra
    • Research Institution
      Kyoto Sangyo 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
  •  Automorphic forms of several variables and spherical functions of homoge-neous spaces

    • Principal Investigator
      YAMAZAKI Tadashi
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      KOBE UNIVERSITY
  •  Studies on arithmetic automorphic forms and zeta functionsPrincipal Investigator

    • Principal Investigator
      MURASE Atsushi
    • Project Period (FY)
      1997 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Kyoto Sangyo University
  •  ユニタリ群上の保型形式の整数論的研究Principal Investigator

    • Principal Investigator
      村瀬 篤
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Kyoto Sangyo University
  •  代数群上の保型形式と保型L-関数の研究Principal Investigator

    • Principal Investigator
      村瀬 篤
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Kyoto Sangyo 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
  •  論理の階層的構造と超限的型理論

    • Principal Investigator
      YASUGI Mariko
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Kyoto Sangyo University
  •  複素多様体とその理想境界の構造についての研究

    • Principal Investigator
      石田 久
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Kyoto Sangyo University
  •  葉層の位相幾何学的研究

    • Principal Investigator
      福井 和彦
    • Project Period (FY)
      1992
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Kyoto Sangyo University

All 2018 2017 2016 2015 2013 2012 2011 2010 2009 2008 2007 2006 2004 2003 2002 2001 Other

All Journal Article Presentation Book

  • [Book] Geometry and analysis of automorphic forms of several varaibles2012

    • Author(s)
      Y. Hamahata, T. Ichikawa, A. Murase and T. Sugano
    • Publisher
      World Sceintific Publisjing Co. Pte. Ltd.
    • Data Source
      KAKENHI-PROJECT-19204001
  • [Book] Geometry and Analysis of Automorphic Forms of Several Variables2011

    • Author(s)
      Y. Hamahata, T. Ichikawa, A. Murase and T. Sugano
    • Total Pages
      320
    • Publisher
      World Scientific
    • Data Source
      KAKENHI-PROJECT-23540033
  • [Journal Article] Modular curves and symmetries of Hecke type2018

    • Author(s)
      B. Heim, C. Kaiser and A. Murase
    • Journal Title

      International Journal of Mathematics

      Volume: 29 Pages: 1850045-1850050

    • DOI

      10.1142/s0129167x18500453

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K05186
  • [Journal Article] Fourier expansion of Arakawa lifting II: Relation with central L-values2016

    • Author(s)
      A. Murase and H. Narita
    • Journal Title

      International Journal of Mathematics

      Volume: 27 Pages: 50001-50032

    • DOI

      10.1142/s0129167x16500014

    • Peer Reviewed / Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-26400027
  • [Journal Article] A Characterization of Holomorphic Borcherds Lifts by Symmetries2015

    • Author(s)
      Berhard Heim and Atsushi Murase
    • Journal Title

      International Mathematics Research Notices

      Volume: 2015 Pages: 11150-11185

    • DOI

      10.1093/imrn/rnv021

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26400027
  • [Journal Article] Symmetries for Borcherds lifts on Hilbert modular groups and Hirzeburch-Zagier divisors2015

    • Author(s)
      B. Heim, A. Murase
    • Journal Title

      International J. Math

      Volume: (to appear)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23540033
  • [Journal Article] Symmetries for Siegel theta functions, Borcherds lifts and automorphic Green functions2013

    • Author(s)
      B. Heim, A. Murase
    • Journal Title

      J. Number Theory

      Volume: 133, no.10 Pages: 3485-3499

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23540033
  • [Journal Article] Symmetries for Siegel theta functions, Borcherds lifts and automorphic Green functions2013

    • Author(s)
      B. Heim and A. Murase
    • Journal Title

      Journal of Number Theory

      Volume: 133 Pages: 3485-3499

    • DOI

      10.1016/j.jnt.2013.04.008

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23540033
  • [Journal Article] Symmetries for Borcherds lifts on Hilbert modular groups and Hirzeburch-Zagier divisors2013

    • Author(s)
      B. Heim and A. Murase
    • Journal Title

      International Journal of Mathematics

      Volume: 24 Pages: 1-23

    • DOI

      10.1142/s0129167x13500651

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23540033
  • [Journal Article] Fourier expansion of Arakawa lifting I : An explicit formula and examples of non-vanishing lifts2012

    • Author(s)
      A. Murase, H. Narita
    • Journal Title

      Israel Journal of Mathematics

      Volume: 187 Pages: 317-369

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23540033
  • [Journal Article] A characterization of the Maass space on O(2, m+2) by symmetries2012

    • Author(s)
      Atsushi Murase and Bernhard Heim
    • Journal Title

      International Journal of Mathematics

      Volume: 23 Pages: 1-13

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23540033
  • [Journal Article] Fourier expansion of Arakawa lifting I: An explicit formula and examples of non-vanishing lifts2012

    • Author(s)
      Atsushi Murase and Hiro-aki Narita
    • Journal Title

      Israel Journal of Mathematics

      Volume: 187 Pages: 317-369

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23540033
  • [Journal Article] A characterization of the Maass space on O(2, m + 2) by symmetries2012

    • Author(s)
      B. Heim, A. Murase
    • Journal Title

      International J. Math

      Volume: 23

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23540033
  • [Journal Article] Borcherds lifts on Sp_2(Z)2011

    • Author(s)
      B.Heim, A.Murase
    • Journal Title

      Geometry and Analysis of Automorphic Forms of Several Variables, Proceedings of the international symposium in honor of Takayuki Oda on the Occasion of his 60th birthday

      Volume: (to appear)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540031
  • [Journal Article] Fourier expansion of Arakawa lifting I : An explicit formula and examples of non-vanishing lifts2011

    • Author(s)
      A.Murase, H. Narita
    • Journal Title

      Israel Journal of Mathematics

      Volume: (to appear)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540031
  • [Journal Article] Borcherds lifts on Sp_2(Z)2011

    • Author(s)
      Atsushi Murase and Bernhard Heim
    • Journal Title

      Geometry and Analysis of Automorphic Forms of Several Variables

      Volume: 1 Pages: 56-76

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23540033
  • [Journal Article] Fourier expansion of Arakawa lifting I : An explicit formula and examples of non-vanishing lifts2011

    • Author(s)
      A.Murase, H.Narita
    • Journal Title

      Israel Journal of Math to appear

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540031
  • [Journal Article] Borcherds lifts on Sp_2(Z), "Geometry and Analysis of Automorphic Forms of Several Variables"2011

    • Author(s)
      B.Heim, A.Murase
    • Journal Title

      Proceedings of the international symposium in honor of Takayuki Oda on the occasion of his 60-th birthday, World Scientific to appear

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540031
  • [Journal Article] Borcherds lifts on Sp2(Z), Geometry and Analysis of Automorphic Forms of Several Variables2011

    • Author(s)
      B. Heim, A. Murase
    • Journal Title

      Proceedings of the international symposium in honor of Takayuki Oda on the occasion of his 60th birthday, World Scientific

      Pages: 56-76

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23540033
  • [Journal Article] CM values and central L-values of elliptic modular forms2010

    • Author(s)
      A.Murase
    • Journal Title

      Math.Ann. 374

      Pages: 529-543

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540031
  • [Journal Article] Commutat ion relations of Hecke operators for Arakawa lifting2008

    • Author(s)
      A. Murase
    • Journal Title

      Tohoku Math. J. 60

      Pages: 227-251

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540031
  • [Journal Article] Commutation relations of Hecke operators for Arakawa lifting2008

    • Author(s)
      A. Murase
    • Journal Title

      Tohoku Mathematical Journal 60

      Pages: 227-251

    • NAID

      110006691409

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540057
  • [Journal Article] Commutation relations of Heckeoperators for Arakawa lifting2008

    • Author(s)
      A.Murase, H.Narita
    • Journal Title

      Tohoku J.Math. 60

      Pages: 227-251

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540031
  • [Journal Article] Commutation relations of Hecke operators for Arakawa lift2008

    • Author(s)
      A. Murase
    • Journal Title

      Tohoku Math. Journal 60

      Pages: 227-251

    • NAID

      110006691409

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-18540057
  • [Journal Article] Commutation relations of Hecke operators for Arakawa lifting2008

    • Author(s)
      A.Murase
    • Journal Title

      Tohoku Mathematical Journal 60

      Pages: 227-251

    • NAID

      110006691409

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540057
  • [Journal Article] On the Fourier-Jacobi expansion of the unitary Kudla lift2007

    • Author(s)
      A. Murase
    • Journal Title

      Compositio Mathematica 143

      Pages: 1-46

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-18540057
  • [Journal Article] On the fourier-jacobi expansion of the unitary Kudla lift2007

    • Author(s)
      A.Murase, T.Sugano
    • Journal Title

      Compositio Math. 143

      Pages: 1-46

    • Data Source
      KAKENHI-PROJECT-18540057
  • [Journal Article] On the Fourier-Jacobi expansion of the unitary Kudla lift2007

    • Author(s)
      A.Murase
    • Journal Title

      Compositio Mathematica 143

      Pages: 1-46

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540057
  • [Journal Article] Inner product formula for Kudla lift2006

    • Author(s)
      A.Murase, T.Sugano
    • Journal Title

      "Automorphic forms and zeta functions", World Scientific

      Pages: 280-313

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14340006
  • [Journal Article] Inner product formula for Kudla lift2006

    • Author(s)
      A.Murase, T.Sugano
    • Journal Title

      Automorphic forms and zeta functions, in memory of Tsuneo Arakawa (World Scientific)

      Pages: 280-313

    • Data Source
      KAKENHI-PROJECT-15540022
  • [Journal Article] Inner product formula for Kudla lift2006

    • Author(s)
      A.Murase
    • Journal Title

      Automorphic forms and zeta functions, in memory of Tsuneo Arakawa, World Scientific

      Pages: 280-313

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14340006
  • [Journal Article] 3次ユニタリ群上の保型形式について2004

    • Author(s)
      村瀬篤, 菅野孝史
    • Journal Title

      数学 56

      Pages: 366-379

    • NAID

      10013753759

    • Data Source
      KAKENHI-PROJECT-13440016
  • [Journal Article] Automorphic forms on the unitary group o degree three (in Japanese)2004

    • Author(s)
      A.Murase, T.Sugano
    • Journal Title

      Sugaku 56

      Pages: 366-379

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14340006
  • [Journal Article] 3次ユニタリ群上の保型形式について2004

    • Author(s)
      村瀬篤
    • Journal Title

      数学 56

      Pages: 366-379

    • NAID

      10013753759

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14340006
  • [Journal Article] Whittaker-Shintani functions for orthogonal groups2003

    • Author(s)
      S.Kato, A.Murase, T.Sugano
    • Journal Title

      T"ohoku Math.J. 55

      Pages: 1-64

    • NAID

      110000026999

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14340006
  • [Journal Article] Whittaker-Shintani functions for orthogonal groups2003

    • Author(s)
      S.Kato, A.Murase, T.Sugano
    • Journal Title

      Tohoku Math.J. 55

      Pages: 1-64

    • NAID

      110000026999

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540022
  • [Journal Article] Fourier-Jacobi expansion of Eisenstein series on unitary groups of degree three.2002

    • Author(s)
      A.Murase
    • Journal Title

      J.Math.Sci.Univ. Tokyo 9

      Pages: 347-404

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14340006
  • [Journal Article] Fourier-Jacobi expansion of Eisenstein series on unitary groups of degree three2002

    • Author(s)
      A.Murase, T.Sugano
    • Journal Title

      J.Math.Sci.Univ.Tokyo 9

      Pages: 347-404

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14340006
  • [Journal Article] Fourier-Jacobi expansion of Eisenstein series on unitary groups of degree three2002

    • Author(s)
      A.Murase
    • Journal Title

      J.Math.Sci.Univ.Tokyo 9

      Pages: 347-404

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-13440016
  • [Journal Article] On metaplectic representations of unitary groups : I. Splitting2001

    • Author(s)
      A.Murase
    • Journal Title

      Proceeding of the Japan Academy 77A

      Pages: 59-62

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-13440016
  • [Journal Article] On metaplectic representations of unitary groups : II. Character formula2001

    • Author(s)
      A.Murase
    • Journal Title

      Proceeding of the Japan Academy 77A

      Pages: 63-65

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-13440016
  • [Presentation] Modular curves and symmetries of Hecke type2018

    • Author(s)
      A. Murase
    • Organizer
      The 32nd International Colloquium on Group Theoretical Methods in Physics
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K05186
  • [Presentation] Symmetries characterizing Borcherds products2017

    • Author(s)
      A. Murase
    • Organizer
      The XXVth International Conference on Integrable Systems and Quantum symmetries
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K05186
  • [Presentation] Symmetries characterizing Borchers products2017

    • Author(s)
      A. Murase
    • Organizer
      The XXVth International Conference on Integrable Systems and Quantum symmetries
    • Place of Presentation
      チェコ工科大学(チェコ共和国プラハ市)
    • Year and Date
      2017-06-06
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26400027
  • [Presentation] A characterization of holomorphic Borcherds lifts by symmetries (joint work with B. Heim)2012

    • Author(s)
      A. Murase
    • Organizer
      International Workshop in Mathematics
    • Place of Presentation
      ドイツ工科大学(オマーン)
    • Data Source
      KAKENHI-PROJECT-23540033
  • [Presentation] Borcherds lifts and symmetries (joint work with B. Heim)2012

    • Author(s)
      A. Murase
    • Organizer
      京都大学数理解析研究所共同研究集会「保型形式と保型的 L 函数の研究」
    • Place of Presentation
      京都大学数理解析研究所
    • Data Source
      KAKENHI-PROJECT-23540033
  • [Presentation] On recurrence relations and functional equations of infinite products2011

    • Author(s)
      B. Heim and A. Murase
    • Organizer
      Ueda Memorial Conferences on Automorphic Forms
    • Place of Presentation
      奈良女子大学
    • Data Source
      KAKENHI-PROJECT-23540033
  • [Presentation] Igusa's modular form2011

    • Author(s)
      B. Heim and A. Murase
    • Organizer
      京都大学数理解析研究所共同研究 集会「保型形式と関連する跡公式, ゼータ関数の研究」
    • Place of Presentation
      京都大学数理解析研究所
    • Data Source
      KAKENHI-PROJECT-23540033
  • [Presentation] A characterization of Borcherds lifts by symmetries2011

    • Author(s)
      A.Murase
    • Organizer
      Ueda Memorial Conferences on Automorphic Forms
    • Place of Presentation
      奈良女子大学
    • Year and Date
      2011-01-26
    • Data Source
      KAKENHI-PROJECT-20540031
  • [Presentation] A characterization of Borcherds lifts by symmetries2011

    • Author(s)
      B. Heim and A. Murase
    • Organizer
      Ueda Memorial Conferences on Automorphic Forms
    • Place of Presentation
      奈良女子大学
    • Data Source
      KAKENHI-PROJECT-23540033
  • [Presentation] Hecke symmetries for theta lifting and Borcherds products on orthogonal groups2009

    • Author(s)
      A.Murase
    • Organizer
      Geometry and Analysis of Automorphic Forms of Several Variables
    • Place of Presentation
      東京大学大学院数理科学研究科
    • Year and Date
      2009-09-14
    • Data Source
      KAKENHI-PROJECT-20540031
  • [Presentation] Hecke symmetries for theta series and Borcherds products2009

    • Author(s)
      A.Murase
    • Organizer
      Geometry and Analysis of Automorphic Forms of Several Variables
    • Place of Presentation
      東京大学
    • Year and Date
      2009-09-15
    • Data Source
      KAKENHI-PROJECT-20540031
  • [Presentation] Fourier-Jacobi expansion of automorphic forms on U(2,1)2008

    • Author(s)
      A.Murase
    • Organizer
      Second Japanese-German Number Theory Workshop
    • Place of Presentation
      Max-Planck-Institut fuer Mathematik, Bonn, Germany.
    • Year and Date
      2008-02-19
    • Data Source
      KAKENHI-PROJECT-20540031
  • [Presentation] Fourier-Jacobi expansion of automorphic forms on U(2,1)2008

    • Author(s)
      A.Murase
    • Organizer
      Second Japanese-German Number Theory Workshop
    • Place of Presentation
      Max-Planck-Institut Bonn
    • Year and Date
      2008-02-19
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-18540057
  • [Presentation] Fourier-Jacobi expansion of automorphic forms on U(2,1)2008

    • Author(s)
      A. Murase
    • Organizer
      Second Japanese-German Number Theory Workshop
    • Place of Presentation
      Max-Planck-Insitut Bonn
    • Year and Date
      2008-02-19
    • Data Source
      KAKENHI-PROJECT-18540057
  • [Presentation] Fourier-Jacobi expansion of automorphic forms on U(2, 1)2008

    • Author(s)
      A. Murase
    • Organizer
      Second Japanese-German Number Theory Workshop
    • Place of Presentation
      Max-Planck-Institut Bonn
    • Year and Date
      2008-02-19
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-18540057
  • [Presentation] Symmetries characterizing Borcherds lifts

    • Author(s)
      村瀬 篤
    • Organizer
      Workshop on automorphic forms at Kumamoto
    • Place of Presentation
      熊本大学(熊本県熊本市)
    • Year and Date
      2015-01-07 – 2015-01-08
    • Invited
    • Data Source
      KAKENHI-PROJECT-26400027
  • [Presentation] Borcherds lifts and symmetries (joint work with B. Heim)

    • Author(s)
      Atsushi Murase
    • Organizer
      保型形式と保型的L 函数の研究(招待講演)
    • Place of Presentation
      京都大学数理解析研究所
    • Data Source
      KAKENHI-PROJECT-23540033
  • [Presentation] A characterization of holomorphic Borcherds lifts by symmetries (joint work with B. Heim)

    • Author(s)
      Atsushi Murase
    • Organizer
      International Workshop in Mathematics(招待講演)
    • Place of Presentation
      German University of Technology (Oman) and Sultan Quaboos University
    • Data Source
      KAKENHI-PROJECT-23540033
  • 1.  SUGANO Takashi (30183841)
    # of Collaborated Projects: 14 results
    # of Collaborated Products: 8 results
  • 2.  KATSURA Masashi (80065870)
    # of Collaborated Projects: 7 results
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  • 7.  MIZUHARA Akira (30065776)
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  • 11.  YASUGI Mariko (90022277)
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  • 12.  TSUZUKI Masao (80296946)
    # of Collaborated Projects: 3 results
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  • 13.  WATANABE Takao (30201198)
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    # of Collaborated Projects: 2 results
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  • 20.  SATO Fumihiro (20120884)
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  • 21.  HAMAHATA Yoshinori (90260645)
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  • 23.  SAITO Hiroshi (20025464)
    # of Collaborated Projects: 2 results
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  • 24.  MORISHITA Masanori (40242515)
    # of Collaborated Projects: 2 results
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    # of Collaborated Projects: 2 results
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    # of Collaborated Projects: 2 results
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    # of Collaborated Projects: 2 results
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    # of Collaborated Projects: 1 results
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    # of Collaborated Projects: 1 results
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  • 31.  HAYATA Takahiro (50312757)
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  • 34.  TAKAYAMA Nobuki (30188099)
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  • 35.  SAITO Masahiko (80183044)
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  • 40.  MATSUKI Toshihiko (20157283)
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