Murase Atsushi 村瀬篤

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MURASE Atsushi 村瀬篤

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Researcher Number	40157772
Other IDs
External Links
Affiliation (Current)	2025: 京都産業大学, 理学部, 教授
Affiliation (based on the past Project Information) *help	1995 – 2023: 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) / 解析学 / 代数学・幾何学
Keywords	Principal Investigator 保型形式 / 代数群 / 保型L関数 / テータリフト / Borcherds積 / 対称性 / ヤコビ形式 / 多変数保型形式 / 周期 / theta lift … More / ユニタリ群 / ヤコビ保型形式 / Kudla lift / automorphic L-function / algebraic group / metaplectic representation / ベクトル系 / 無限積 / 国際研究者交流 / フーリエ展開 / Eisenstein級数 / 保型L-関数 / 整数論 / 保型L関数の特殊値 / 分岐則 / 楕円モジュラー形式 / 新谷リフト / 四元数ユニタリ群 / 斎藤-黒川リフティング / 2次ジーゲル保型形式 / アフィン・リー環 / モジュラー多項式 / 直交群 / 完全再生可能関数 / モジュラー曲線 / ジーゲル保型形式 / 階層構造 / period / Fourier coefficients / automorphic form / フーリエ係数 / Automorphic L-functions / Periods of automorphic forms / Siegel Weil formula / Automorphic forms on unitary groups / テータ級数 / ゼータ関数 / 四元数ユニタリ群上の保型形式 / Sigel-Weil公式 / 保型形式の周期 / Siegel-Weil公式 / ユニタリ群上の保型形式 / Howe correspondence / Heisenberg goup / Fourier-Jacobi expansion / automorphic forms / L-関数の特殊値 / Weil表現 / Heisenberg群 / Metaplectic表現 / Fourier-Jacobi展開 / Howe 対応 / テータリフト / Heisenberg 群 / Metapletic 表現 / Fourier-Jacobi 展開 / 完全再生可能性 / affine Lie algebra / Kac-Moodyリー代数 / アフィンリー環 / ドイツ：オマーン / ドイツ:オマーン / L関数 / Borcherds lift / ヘッケ作用素 / ヒルベルトモジュラー形式 / ジーゲル・テータ級数 / オマーン / 四元数環 / 積対称性 / Borcherdsリフト / ボーチャーズ積 / Poincare級数 / メタプレクティック表現 / テ-タ関数 / 古典群 / Hecke作用素 … More Except Principal Investigator 保型形式 / 球関数 / spherical functions / automorphic form / Spherical functions / Automorphic forms / 保型L関数 / automorphic forms / L-関数 / modular cycle / Green currents / Weil representation / theta function / Shintani function / Weil表現 / テータ関数 / 新谷関数 / deg(L) / root(L) / Hecke環 / L-functions / modular forms / モジュラー形式 / ４次元トポロジー / 有限群の不変量 / 特異テータリフティング / テータリフティング / 保型表現 / Maassの逆定理 / 階数１の直交群 / 偶ユニモジュラー格子 / 実解析的カスプ形式 / リフティング / Ramanujan予想の反例 / 直交群 / 保型形式のリフティング / 非緩増加な保型形式 / 局所Maass関係式 / 特殊Bessel模型 / 実双曲空間 / テータリフト / 逆定理 / 実解析的保型形式 / Weyl groups / distinguished representations / spherical homogenous spaces / symmetric spaces / 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 / 球等質空間 / 対称空間 / 許容表現 / 簡約群 / p-進体 / automorphic L-function / Whittaker functions / Automorhic forms / Green functions / locally symmetric spaces / modular cycles / Whittaker関数 / automorphic L function / データ関数 / Petri net / palindrome / decidability problem / regular language / context-free language / primitive word / シャッフル演算 / オートマトン / 非決定問題 / 形式言語 / 星型積 / 稠密文脈自由言語 / 非決定性有向オートマトン / CPN言語 / プレフィックス・コード / ペトリネット言語 / ペトリネット / 回文 / 決定問題 / 正規言語 / 文脈自由言語 / 原始語 / spherical function / Hecke algebra / ヘッケ環 / Special functions / Modular forms / L関数 / 特殊関数 / L^^<エル>関数 / harmonic analysis / L-function / 跡公式 / 調和解析 / 保型Ｌ関数 / ヤコビ形式 / ユニタリ群 / spherical functions on Lie groups / moduli spaces / Picardモジュラー形式 / モジュライ空間 / ホッヂ構造 / 行列係数 / 級関数 / discrete subgroups / modular varieties,不連続群 / Whittaker functions,モジュラー多様体 / spherical functions, Whittaker関数 / automorphic forms,球関数 / 型のモデル / 正規性 / 構成的体系 / 項 / 型 / 正規作用素 / 極値的長さ / 理想境界 / 調和測度 / リーマン面 / R^P-作用 / オイラー数 / ホロノミー群 / クラインの壺 / 安定 / 摂動 / コンパクト葉 / 葉層 Less

Branching laws for Jacobi modular forms: periods and specai L-valuesPrincipal Investigator
- Principal Investigator
  
  村瀬篤
- Project Period (FY)
  2020 – 2024
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Kyoto Sangyo University
A study on automorphic forms of several variables with symmetries of level structurePrincipal Investigator
- Principal Investigator
  
  MURASE Atsushi
- Project Period (FY)
  2017 – 2020
- 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

[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] Completely replicable functions and symmetries2019
- Author(s)
  B. Heim and A. Murase
- Journal Title
  
  Abhandlungen aus dem Mathematischen Seminar der Universitaet Hamburg
  
  Volume: 89 Issue: 2 Pages: 169-177
- DOI
  10.1007/s12188-019-00212-9
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05186
[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 Issue: 07 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 Issue: 01 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 Issue: 21 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 Issue: 10 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 Issue: 08 Pages: 1-23
- DOI
  10.1142/s0129167x13500651
- 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] 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] 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)
  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] 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 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 Math 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] 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 Mathematics
  
  Volume: (to appear)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540031
[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] 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 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] 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 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
- 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(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, 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(欧文)」より
- 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] 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] 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] 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
- 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] 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] 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] On Arakawa lifting2024
- Author(s)
  村瀬　篤
- Organizer
  保型形式の研究
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03569
[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 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] 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] 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] 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] 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] 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] 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] 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] 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-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] 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-Insitut Bonn
- Year and Date
  2008-02-19
- Data Source
  KAKENHI-PROJECT-18540057
[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
[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] 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

1. SUGANO Takashi (30183841)

# of Collaborated Projects: 14 results

# of Collaborated Products: 8 results
2. KATSURA Masashi (80065870)

# of Collaborated Projects: 7 results

# of Collaborated Products: 0 results
3. ITO Masami (50065843)

# of Collaborated Projects: 6 results

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6. ISHIDA Hisashi (10103714)

# of Collaborated Projects: 4 results

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7. MIZUHARA Akira (30065776)

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8. ODA Takayuki (10109415)

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13. WATANABE Takao (30201198)

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14. YAMAZAKI Tadashi (30011696)

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15. 正岡弘照 (30219315)

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16. BERNHARD Heim

# of Collaborated Projects: 3 results

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17. ARIYAMA Kazutoshi (20123713)

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18. ARAKAWA Tsuneo (60097219)

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19. WASHIHARA Masako (40065800)

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20. SATO Fumihiro (20120884)

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21. HAMAHATA Yoshinori (90260645)

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22. HIRANO Miki (80314946)

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23. SAITO Hiroshi (20025464)

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24. MORISHITA Masanori (40242515)

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25. ITO Tatsuro (90015909)

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26. HAYAKAWA Takayuki (20198823)

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27. YAMADA Mieko (70130226)

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28. ISHII Taku (60406650)

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29. ICHIKAWA Takashi (20201923)

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30. KOSEKI Harutaka (60234770)

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31. HAYATA Takahiro (50312757)

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32. TAKASE Kouichi (60197093)

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33. SEKIGUCHI Hideko (50281134)

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34. TAKAYAMA Nobuki (30188099)

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35. SAITO Masahiko (80183044)

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36. FUJIOKA Atsushi (30293335)

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37. OHNO Yasuo (70330230)

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38. IWASE Zjun'ici (70183746)

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39. KATO Shin-ichi (90114438)

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40. MATSUKI Toshihiko (20157283)

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47. 吉川謙一 (20242810)

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48. 山内正敏 (30022651)

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Murase Atsushi 村瀬 篤

MURASE Atsushi 村瀬 篤

Research Projects

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Co-Researchers

Branching laws for Jacobi modular forms: periods and specai L-valuesPrincipal Investigator

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A study on automorphic forms of several variables with symmetries of level structurePrincipal Investigator

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Studies on symmetries for automorphic forms and Borcherds productsPrincipal Investigator

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Arithmetic invariants and automorphic L-functions for automorphic forms of several variablesPrincipal Investigator

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On automorphic forms on algebraic groups: Arithmetic invariants and automorphic L-functionsPrincipal Investigator

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Study on arithmetic invariants attached to automorphic formsPrincipal Investigator

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Study on automorphic forms on algebraic groups and associated zeta functionsPrincipal Investigator

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Murase Atsushi 村瀬篤

MURASE Atsushi 村瀬篤