Tsuzuki Masao 都築正男

… Alternative Names

TSUZUKI Masao 都築正男

都築正男ツヅキマサオ

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Researcher Number	80296946
Other IDs
Affiliation (Current)	2025: 上智大学, 理工学部, 教授
Affiliation (based on the past Project Information) *help	2015 – 2025: 上智大学, 理工学部, 教授 2008 – 2014: Sophia University, 理工学部, 准教授 2008: 上智大学, 理工学部, 準教授 2007: Sophia University, 上智大学理工学部, 准教授 2006 – 2007: 上智大学, 理工学部, 講師 2001 – 2005: 上智大学, 理工学部, 助手 1997: 上智大学, 理工学部, 助手
Review Section/Research Field	Principal Investigator Algebra / Basic Section 11010:Algebra-related / Algebra Except Principal Investigator Algebra / Algebra / Basic Section 11010:Algebra-related / Geometry
Keywords	Principal Investigator 相対跡公式 / グリーン関数 / 跡公式 / Ｌ関数 / 周期積分 / セルバーグゼータ関数 / 保型形式 / Whittaker周期 / Rankin-Selberg周期 / ユニタリー群の正則保型形式 … More / ホイタッカー周期 / ランキンセルバーグ積分 / Kloostermann和 / Petersson跡公式 / 相対的跡公式 / アーサーセルバーグ跡公式 / Arthur-Selberg跡公式 / 熱核 / ワイル法則 / セルバーグ跡公式 / フーリエ変換 / マース波動表現 / 標準L函数の中心値 / IV型領域の保型形式 / L関数の特殊値 / 新谷関数 / 中心Ｌ値 / 保型形式の周期積分 / 軌道積分の移送 / 保型形式の周期 / Ｌ関数特殊値 / L-関数 / ヘッケ環 / L関数 / 指数和 / 一般超幾何関数 / L函数 / エル関数 / 一般超幾何級数 / グリーン函数 / グリーンカレント / クルステルマン和 / モジュラー的部分多様体 / グリーン形式 / マース波動形式 / アイゼンシュタイン級数 / 特殊サイクル … More Except Principal Investigator 保型形式 / 代数学 / 整数論 / Kloosterman sum / coinvariant algebra / Gelfand-Graev representation / character sum / Gauss sum / unitary Kloosterman sum / Hilbert scheme of G-orbit / gaussian sum / 数論 / Green currents / Automorphic forms / spherical functions / automorphic forms / modular forms / アルゴリズム / ガロア理論 / 跡公式 / 保型表現 / Spherical functions / modular cycle / finite group / algebraic group / McKay correspondence / Hilbert scheme of G-orbits / ガウス和 / almost character / Ｈ-周期 / H-周期 / 表現論 / セルバーグ跡公式 / 正規化行列式 / スペクトルゼータ関数 / セルバーグ型ゼータ関数 / ヒルベルトモジュラー曲面 / Whittaker functions / Green functions / リッチフロー / アインシュタイン計量 / 超離散化 / 幾何結晶 / 結晶基底 / L-関数 / 球関数 / ヘッケ環 / 指標和 / 有限群の表現論 / 周期 / 相対跡公式 / 概均質ゼータ関数 / 保型周期 / 多重ゼータ値 / ヘッケ固有値 / 純三次体 / 保型形式の周期 / 部分的変形 / 合流型超幾何関数 / Siegel-Whittaker関数 / 離散系列表現 / スペクトルテータ関数 / general linear group / zeta function / irreducible representation / finite reductive groups / クルースタマン和 / Gelfand-Graev表現 / 一般線型群 / ゼータ関数 / 既約表現 / 有限簡約群 / Automorhic forms / locally symmetric spaces / modular cycles / Whittaker関数 / McKay corresondence / McKay correspndence / 中単指標 / クルスターマン和 / ヒルベルトスキーム / 有限簡約代数群 / SL(3,C)の有限部分群 / 余不変式環 / 有限簡約代教群 / Gelfand-Gracv representation / Character sum / unitary kloosterman sum / kloosterman sum / 熱方程式 / ε-因子 / ワイルの法則 / 素測地線定理 / ルエル型ゼータ関数 / ヒルベルトモジュラー群 / セルバーグ型ディリクレ級数 / 多変数超幾何関数 / Lie群上の球関数 / 不連続群 / 保型型式 / hypergeometric functions / fundamental domain / discrete series / Whittaker function / トロピカルRマップ / イプシロン系 / 冪単結晶 / picture / トロピカルR写像 / クラスター代数 / ブリューワーセル / 一般化行列式 / トロピカルＲ写像 / 量子群 / ワイル群 / Bruhat cell / 単項式表示 / 一般化小行列式 / 多面体表示 / トロピカルR行列 / 異種微分構造 / ゲージ理論的不変量 / ゲージ理論 / Seiberg-Witten不変量 / マルコフトレース / Tropical R map / 熱帯化 / Tropical R写像 / 代数群 / spherical functions on Lie groups / L-functions / 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 / モジュラー形式 / 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 / 幾何学 / ゲルファンドーグラエフ表現 / 簡約代数群 / 有限群の表現 / 表現 / 有限群 / 群論 Less

2次非正則ジーゲル保型形式の周期積分の研究Principal Investigator
- Principal Investigator
  
  都築正男
- Project Period (FY)
  2025 – 2027
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Sophia University
保型形式の周期の非消滅定理と漸近公式の研究
- Principal Investigator
  
  若槻聡
- Project Period (FY)
  2021 – 2025
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Kanazawa University
代数的保型形式の次元評価Principal Investigator
- Principal Investigator
  
  都築正男
- Project Period (FY)
  2020 – 2024
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Sophia University
Asymptotic formula of Hecke eigenvalues and research of Arthur trace formula
- Principal Investigator
  
  Wakatsuki Satoshi
- Project Period (FY)
  2018 – 2021
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Kanazawa University
Research on arithmetic of number fields and coverings with non-commutative Galois groups
- Principal Investigator
  
  角皆宏
- Project Period (FY)
  2018 – 2024
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Sophia University
Ramification theory of automorphic representations and arithmetic of special L-values
- Principal Investigator
  
  Yoshi-Hiro Ishikawa
- Project Period (FY)
  2015 – 2017
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Okayama University
Explicit Fourier transform of trace formulas and its applications to arithmeticPrincipal Investigator
- Principal Investigator
  
  Tsuzuki Masao
- Project Period (FY)
  2015 – 2018
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Sophia University
Resolvent type trace formulas, automorphic forms and zeta functions
- Principal Investigator
  
  GON Yasuro
- Project Period (FY)
  2014 – 2016
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Kyushu University
Generalization of the Ricci flow
- Principal Investigator
  
  Ishida Masashi
- Project Period (FY)
  2013 – 2017
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Tohoku University
  Osaka University
Ramified components of automorphic representations: local theory and its application to special L-values
- Principal Investigator
  
  ISHIKAWA YOSHI-HIRO
- Project Period (FY)
  2012 – 2014
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Okayama University
Arithmetic study of automorphic forms of many variables by various method
- Principal Investigator
  
  ODA Takayuki
- Project Period (FY)
  2011 – 2014
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Algebra
- Research Institution
  The University of Tokyo
Study of automorphic forms and zeta functions by using generalized or refined resolvent type trace formulas
- Principal Investigator
  
  GON Yasuro
- Project Period (FY)
  2011 – 2013
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Kyushu University
Construction of tropical R maps on geometric crystals and its applications to crystal bases
- Principal Investigator
  
  NAKASHIMA Toshiki
- Project Period (FY)
  2010 – 2014
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Sophia University
A computational research on number fields and coverings with non-commutative Galois groups
- Principal Investigator
  
  TSUNOGAI Hiroshi
- Project Period (FY)
  2010 – 2014
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Sophia University
Periods of automorphic forms and distribution of average of special values of L-functionsPrincipal Investigator
- Principal Investigator
  
  TSUZUKI Masao
- Project Period (FY)
  2010 – 2014
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Sophia University
Gauge theoretical approach to Einstein metrics and Ricci flow
- Principal Investigator
  
  ISHIDA Masashi
- Project Period (FY)
  2008 – 2012
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Sophia 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
Construction of affine geometric crystals and Representation theory of crystal bases
- Principal Investigator
  
  NAKASHIMA Toshiki
- Project Period (FY)
  2007 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Sophia University
Representations of finite reductive groups and applications
- Principal Investigator
  
  SHINODA Ken-ichi
- Project Period (FY)
  2006 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Sophia University
A computational study on extensions of algebraic number fields with non-commutative Galois groups
- Principal Investigator
  
  TSUNOGAI Hiroshi
- Project Period (FY)
  2006 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Sophia University
Green functions and relative trace formulasPrincipal Investigator
- Principal Investigator
  
  TSUZUKI Masao (MASAO Tsuzuki)
- Project Period (FY)
  2006 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Sophia University
複素超球上のある幾何的調和形式の数論的研究Principal Investigator
- Principal Investigator
  
  都築正男
- Project Period (FY)
  2004
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Algebra
- Research Institution
  Sophia 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
A Study on the zeta functions attached with the irreducible representations of finite reductive groups
- Principal Investigator
  
  SHINODA Ken-ichi
- Project Period (FY)
  2002 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Sophia University
Study on representations of algebraic groups and finite groups, and applications
- Principal Investigator
  
  SHINODA Ken-ichi
- Project Period (FY)
  2000 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Sophia University
Studies on Representations of Finite Groups and Applications
- Principal Investigator
  
  SHINODA Ken-ichi
- Project Period (FY)
  1997 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Sophia University

[Journal Article] Quantitative non-vanishing of central values of certain L-functions on GL(2) x GL(3)2022
- Author(s)
  Sugiyama Shingo, Tsuzuki Masao
- Journal Title
  
  Mathematische Zeitschrift
  
  Volume: － Issue: 2 Pages: 1447-1479
- DOI
  10.1007/s00209-021-02886-5
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20K14298, KAKENHI-PROJECT-23K20785
[Journal Article] Hecke-Maass cusp forms on PGL_n of large levels with non-vanishing L-values2021
- Author(s)
  Tsuzuki Masao
- Journal Title
  
  Journal of Functional Analysis
  
  Volume: 281 Issue: 10 Pages: 109215-109215
- DOI
  10.1016/j.jfa.2021.109215
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K03253, KAKENHI-PROJECT-20K03565
[Journal Article] An explicit trace formula of Jacquet-Zagier type for Hilbert modular forms2018
- Author(s)
  Shingo Sugiyama, Masao Tsuzuki
- Journal Title
  
  Journal of Functional Analysis
  
  Volume: 275 Issue: 11 Pages: 2978-3064
- DOI
  10.1016/j.jfa.2018.09.009
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K21025, KAKENHI-PROJECT-15K04795
[Journal Article] Orbital integrals on unitary hyperbolic spaces over p-adic fields2017
- Author(s)
  Masao Tsuzuki
- Journal Title
  
  Tokyo J. Math.
  
  Volume: ３９ Pages: 924-975
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-15K04795
[Journal Article] Existence of Hilbert cusp forms with non-vanishing L -values2016
- Author(s)
  Sugiyama Shingo, Tsuzuki Masao
- Journal Title
  
  Canadian Journal of Mathematics
  
  Volume: 68 Issue: 4 Pages: 908-960
- DOI
  10.4153/cjm-2015-048-4
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-25400074
[Journal Article] Existence of Hilbert cusp forms with non-vanishing L-values2016
- Author(s)
  Shingo Sugiyama, Masao Tsuzuki
- Journal Title
  
  Canad. J. Math.
  
  Volume: 68 Pages: 908-960
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-15K04795
[Journal Article] Relative trace formulas and subconvexity estimates for L -functions of Hilbert modular forms2016
- Author(s)
  Sugiyama Shingo, Tsuzuki Masao
- Journal Title
  
  Acta Arithmetica
  
  Volume: 176 Pages: 1-63
- DOI
  10.4064/aa8021-4-2016
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-25400074
[Journal Article] Relative trace formulas and subconvexity estimates for L-functions of Hilbert modular forms2016
- Author(s)
  Shingo Sugiyama, Masao Tsuzuki
- Journal Title
  
  Acta. Arith.
  
  Volume: 176 Pages: 1-63
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-15K04795
[Journal Article] Spectral square means of central values of automorphic L-functions for GL(2)2015
- Author(s)
  Masao Tsuzuki
- Journal Title
  
  Memoire of American Mathematical Society
  
  Volume: 235
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24540021
[Journal Article] Spectral average of central values ofautomorphic L-functions forholomorphic cusp forms on SO0(m, 2)2012
- Author(s)
  Tsuzuki Masao
- Journal Title
  
  J.Number Theory
  
  Volume: 132 Pages: 2407-2454
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540090
[Journal Article] Spectral average of central values of automorphic L-functions for holomorphic cusp forms on SO_0(m,2), I2012
- Author(s)
  MasaoTsuzuki
- Journal Title
  
  Journal of Number Theory
  
  Volume: 132 Issue: 11 Pages: 2407-2454
- DOI
  10.1016/j.jnt.2012.04.020
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540090, KAKENHI-PROJECT-22540032, KAKENHI-PROJECT-22540033, KAKENHI-PROJECT-23540020
[Journal Article] Spectral average of central values of automorphic L-functions for holomorphic cusp forms on SO_0(m,2), I2012
- Author(s)
  Masao Tsuzuki
- Journal Title
  
  Journal of Number Theory
  
  Volume: 132
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24540021
[Journal Article] Limit formulas of period integrals for a certain symmetric pair II2011
- Author(s)
  Masao Tsuzuki
- Journal Title
  
  Journal of the Mathematical Society of Japan
  
  Volume: 63 Issue: 3 Pages: 1039-1084
- DOI
  10.2969/jmsj/06331039
- NAID
  10029322036
- ISSN
  0025-5645, 1881-1167, 1881-2333
- Language
  English
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540090, KAKENHI-PROJECT-22540032, KAKENHI-PROJECT-22540033
[Journal Article] Limit formulas of period integrals fora certain symmetric pair II2011
- Author(s)
  Tsuzuki Masao
- Journal Title
  
  J. Math.Soc
  
  Volume: 63 Pages: 1039-1084
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540090
[Journal Article] Certain Rankin-Selberg integrals for unitary groups2009
- Author(s)
  Masao Tsuzuki
- Journal Title
  
  Tohoku Math.J 61
  
  Pages: 115-164
- NAID
  110007031057
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540049
[Journal Article] Certain Rankin-Selberg integrals for unitary groups2009
- Author(s)
  都築正男
- Journal Title
  
  Tohoku Math.J. 61
  
  Pages: 115-164
- NAID
  110007031057
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540050
[Journal Article] Spectral square means for period integrals of wave functions on real hyperbolic spaces2009
- Author(s)
  都築正男
- Journal Title
  
  J.Number Theory 129
  
  Pages: 1387-1438
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540050
[Journal Article] Spectral square means for period integrals of wave functions on real hyperbolic spaces2009
- Author(s)
  Masao Tsuzuki
- Journal Title
  
  J.Number Theory 129
  
  Pages: 2387-2438
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540049
[Journal Article] The secondary spherical functions and automorphic Green currents for certain symmetric pairs2009
- Author(s)
  T.Oda, M.Tsuzuki
- Journal Title
  
  Pure Appl. Math. Q. Vol.5
  
  Pages: 977-1028
- Data Source
  KAKENHI-PROJECT-18540049
[Journal Article] Spectral square means for period integrals of wave functions on real hyperbolic spaces.2009
- Author(s)
  Tsuzuki,Masao
- Journal Title
  
  J.Number Theory 129, no.10
  
  Pages: 2387-2438
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540090
[Journal Article] Spectral square means for periodintegrals of wave functions on realhyperbolic spaces2009
- Author(s)
  Tsuzuki Masao
- Journal Title
  
  J. Number Theory
  
  Volume: 129 Pages: 2387-2438
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540090
[Journal Article] The secondary spherical functions and Green currents associated with symmetric pairs2009
- Author(s)
  T. Oda, M. Tsuzuki
- Journal Title
  
  Pure and appl.Math.Quarterly 5
  
  Pages: 977-1028
- Data Source
  KAKENHI-PROJECT-19204001
[Journal Article] Certain Rankin-Selberg integrals for unitary groups2009
- Author(s)
  M.Tsuzuki
- Journal Title
  
  Tohoku Math. J. vol.61
  
  Pages: 115-164
- NAID
  110007031057
- Data Source
  KAKENHI-PROJECT-18540049
[Journal Article] Certain Rankin-Selberg integrals for Unitary Groups2009
- Author(s)
  Masao Tsuzuki
- Journal Title
  
  Tohoku Math. J. 61
  
  Pages: 115-164
- NAID
  110007031057
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540049
[Journal Article] The secondary spherical functions and Green currents associtaed with symmetric pairs2009
- Author(s)
  Oda, T., TSZUKI, Masao
- Journal Title
  
  RIMS Kokyuroku Bessatsu B7
  
  Pages: 121-135
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19204001
[Journal Article] Certain Rankin-Selberg integrals for unitary groups2009
- Author(s)
  Tsuzuki Masao
- Journal Title
  
  Tohoku Math. J
  
  Volume: 61 Pages: 115-164
- NAID
  110007031057
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540090
[Journal Article] Spectral square means for period integrals of wave functions on real hyperbolic spaces2009
- Author(s)
  Masao Tsuzuki
- Journal Title
  
  J. Number Theory 129
  
  Pages: 2287-2438
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540049
[Journal Article] Limit formulas of period integrals fora certain symmetric pair2008
- Author(s)
  Tsuzuki Masao
- Journal Title
  
  J.Funct.Anal
  
  Volume: 255 Pages: 1139-1190
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540090
[Journal Article] The secondary spherical functions and Green currents associated with certain symmetric pairs2008
- Author(s)
  T. Oda, M. Tsuzuki
- Journal Title
  
  RIMS Kokyuroku Bessatsu B7
  
  Pages: 121-135
- Data Source
  KAKENHI-PROJECT-18540049
[Journal Article] Limit formulas of period integrals for a certain symmet ric pair2008
- Author(s)
  Masao Tsuzuki
- Journal Title
  
  Journal of functional analysis 255
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540049
[Journal Article] Limit period formulas for a ceriain symmetric pair2008
- Author(s)
  Masco Tsuzuki
- Journal Title
  
  journal of Functional Analysis 225
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540090
[Journal Article] Limit period formulas for a certain symmetric pair2008
- Author(s)
  Masao Tsuzuki
- Journal Title
  
  J. Funct. Anal. vol. 255
  
  Pages: 1139-1190
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540048
[Journal Article] Spectral square means for period integrals of wave functions2008
- Author(s)
  M.Tsuzuki
- Journal Title
  
  RIMS 研究集会「保型表現、保型形式とL関数の周辺」講究録 1617
  
  Pages: 11-17
- Data Source
  KAKENHI-PROJECT-18540049
[Journal Article] The secondary spherical functions and Green currents associated with symmetric pairs(announcement of results)2008
- Author(s)
  T. Oda and M. Tsuzuki(都築正男)
- Journal Title
  
  RIMS Kokyuroku Bessatsu
  
  Volume: B7 Pages: 121-135
- Data Source
  KAKENHI-PROJECT-19204001
[Journal Article] Limit period formulas for a certain syrmmetric pair2008
- Author(s)
  都築正男
- Journal Title
  
  J. Funct. Anal. 255
  
  Pages: 1139-1190
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540050
[Journal Article] Limit formulas of period integrals for a certain symmetric pair2008
- Author(s)
  Masao Tsuzuki
- Journal Title
  
  J. Funct. Ann. 255(5)
  
  Pages: 1139-1190
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540049
[Journal Article] Limit period formulas for a certain symmetric pair2008
- Author(s)
  Masao Tsuzuki
- Journal Title
  
  J. Funct. Anal. 255
  
  Pages: 1139-1190
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540047
[Journal Article] Limit formulas of period integrals for a certain symmetric pair2008
- Author(s)
  M.Tsuzuki
- Journal Title
  
  J. Funct. Anal. Vol.255
  
  Pages: 1139-1190
- Data Source
  KAKENHI-PROJECT-18540049
[Journal Article] Green currents for modular cycles in arithmetic quotients of complex hyper balls2006
- Author(s)
  M.Tsuzuki
- Journal Title
  
  Pacific J. Math. Vol.227 No.2
  
  Pages: 311-359
- Data Source
  KAKENHI-PROJECT-18540049
[Journal Article] Green currents for modular cycles in arithmetic quotients of complex hyperballs2006
- Author(s)
  Masao Tsuzuki
- Journal Title
  
  Pacific J. Math. 227
  
  Pages: 311-359
- Data Source
  KAKENHI-PROJECT-18540047
[Journal Article] Green currents for modular cycles in arithmetic quotients of complex hyperballs2006
- Author(s)
  Masao Tsuzuki
- Journal Title
  
  Pacific J. Math. 227
  
  Pages: 311-359
- Data Source
  KAKENHI-PROJECT-18540048
[Journal Article] Green Currents for modular cycles in arithmetic quotients of complex hyperballs2006
- Author(s)
  Masao Tsuzuki
- Journal Title
  
  Pacific Journal of Mathematics vol. 227
  
  Pages: 311-359
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540047
[Journal Article] Green currents for modular cycles in arithmetic quotients of complex hyperballs2006
- Author(s)
  Tsuzuki, Masao
- Journal Title
  
  Pacific J. Math. 227
  
  Pages: 311-359
- Data Source
  KAKENHI-PROJECT-18540049
[Journal Article] Certain Poincare series and period-integrals of Eisenstein series on R-rank one classical groups2004
- Author(s)
  M.Tsuzuki
- Journal Title
  
  Commentarii Math.Univ.Sancti Pauli 53
  
  Pages: 37-75
- NAID
  110007689259
- Data Source
  KAKENHI-PROJECT-14540042
[Journal Article] Certain Poincare series and period-integrals of Eisenstein series on R-rank one classical groups2004
- Author(s)
  Masao Tsuzuki
- Journal Title
  
  Commentarii Mathematici Universitatis Sancti Pauli 53
  
  Pages: 37-75
- NAID
  110007689259
- Data Source
  KAKENHI-PROJECT-14740027
[Journal Article] Automorphic Green functions associated with the secondary spherical functions.2003
- Author(s)
  織田孝幸, 都築正男
- Journal Title
  
  Publ. Res. Inst. Math. Sci. 39 (2003), no. 3, 451--533. 39
  
  Pages: 451-533
- NAID
  130003585543
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14340004
[Journal Article] utomorphic Green Functions Associated with the Secondary Spherical Functions2003
- Author(s)
  織田孝幸, 都築正男
- Journal Title
  
  Publications of the RIMS, Kyoto University 39
  
  Pages: 451-533
- Data Source
  KAKENHI-PROJECT-14340004
[Journal Article] Automorphic Green functions associated with the secondary spherical functions2003
- Author(s)
  M.Tsuzuki
- Journal Title
  
  Publ. of RIMS 39
  
  Pages: 451-533
- NAID
  130003585543
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14540042
[Journal Article] Automorphic Green functions associated with the secondary spherical functions2003
- Author(s)
  M.Tsuzuki
- Journal Title
  
  Publ.of RIMS 39
  
  Pages: 451-533
- NAID
  130003585543
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14540042
[Journal Article] Automorphic Green functions associated with the secondary spherical functions.2003
- Author(s)
  Oda, Takayuki, Tsuzuki, Masao
- Journal Title
  
  Publ.Res.Inst.Math.Sci. 39, no.3
  
  Pages: 451-533
- NAID
  130003585543
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14340004
[Journal Article] The resolvent trace formula for rank one Lie groups2002
- Author(s)
  M.Tsuzuki
- Journal Title
  
  Asian J. Math. 6
  
  Pages: 227-252
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14540042
[Journal Article] The resolvent trace formula for rank one Lie groups2002
- Author(s)
  M.Tsuzuki
- Journal Title
  
  Asian J.Math. 6
  
  Pages: 227-252
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14540042
[Presentation] Weighted spectral equidistribution theorem for Siegel cusp forms of degree 22023
- Author(s)
  都築正男
- Organizer
  Number Theory in Tokyo
- Invited
- Data Source
  KAKENHI-PROJECT-20K03565
[Presentation] A limit theorem for Siegel cusp forms of degree 22023
- Author(s)
  都築正男
- Organizer
  早稲田大学整数論研究集会
- Invited
- Data Source
  KAKENHI-PROJECT-20K03565
[Presentation] A relative trace formula on GL(n) and its application2023
- Author(s)
  都築正男
- Organizer
  RIMS共同研究「保型表現の解析的・数論的研究」
- Invited
- Data Source
  KAKENHI-PROJECT-20K03565
[Presentation] Abundance of cusp forms on higher dimensional arithmetic quotients with non-vanishing L-values2019
- Author(s)
  都築正男
- Organizer
  Value distributions of zeta and L-functions and related topics
- Invited
- Data Source
  KAKENHI-PROJECT-15K04795
[Presentation] Explicit trace formula of SL_3(Z) and its application2019
- Author(s)
  都築正男
- Organizer
  保型形式、保型表現とその周辺(RIMS conference)
- Data Source
  KAKENHI-PROJECT-15K04795
[Presentation] An explicit trace formula of Jacquet-Zagier type and its applications2018
- Author(s)
  都築正男
- Organizer
  Analytic number theory and related topic(RIMS conference)
- Data Source
  KAKENHI-PROJECT-15K04795
[Presentation] An explicit trace formula of Jacquet-Zagier type and its application2017
- Author(s)
  都築正男
- Organizer
  神戸整数論集会2017
- Invited
- Data Source
  KAKENHI-PROJECT-15K04784
[Presentation] A cuspidal analogue of Jacquet-Zagier's trace formula and its application to non-vanishing of L-values2017
- Author(s)
  都築正男
- Organizer
  Bielefeld University Arithmetic Geometry Sminar
- Invited
- Data Source
  KAKENHI-PROJECT-15K04795
[Presentation] Existence of cusp forms with non-vanishing L-values2015
- Author(s)
  都築正男
- Organizer
  Ｚｅｔａ　ｆｕｎｃｔｉｏｎｓ　ｏｆ　ｓｅｖｅｒａｌ　ｖａｒｉａｂｌｅｓ　ａｎｄ　ａｐｐｌｉｃａｔｉｏｎｓ
- Place of Presentation
  名古屋大学
- Year and Date
  2015-11-09
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04795
[Presentation] On a spectral average of central L-values of holomorphic cusp forms on SO(m,2)2012
- Author(s)
  都築正男
- Organizer
  L-functions of automorphic forms and related problems
- Place of Presentation
  東京大学(招待講演)
- Year and Date
  2012-03-13
- Data Source
  KAKENHI-PROJECT-20540090
[Presentation] Relative trace formulas andspectral average of period integrals2012
- Author(s)
  都築正男
- Organizer
  国際研究集会
- Place of Presentation
  東京工業大学
- Data Source
  KAKENHI-PROJECT-20540090
[Presentation] 保型形式の周期の平均分布2012
- Author(s)
  都築正男
- Organizer
  第57回代数学シンポジウム
- Place of Presentation
  京都大学
- Data Source
  KAKENHI-PROJECT-20540090
[Presentation] 保型形式の周期の平均分布2012
- Author(s)
  都築正男
- Organizer
  代数学シンポジウム
- Place of Presentation
  京都大学
- Invited
- Data Source
  KAKENHI-PROJECT-22540033
[Presentation] On a spectral average of central L-values of holomorphic cusp forms on SO(m,2)2012
- Author(s)
  都築正男
- Organizer
  L-functions of automorphic forms and related problems
- Place of Presentation
  東京大学(招待講演)
- Year and Date
  2012-03-23
- Data Source
  KAKENHI-PROJECT-22540033
[Presentation] On a spectral average of central L-values of holomorphic cusp forms on SO(m,2)2012
- Author(s)
  都築正男
- Organizer
  L-functions of automorphic forms and related problems
- Place of Presentation
  東京大学(招待講演)
- Year and Date
  2012-03-13
- Data Source
  KAKENHI-PROJECT-22540032
[Presentation] Spectral square means ofcentral values of automorphicL-functions for GL(2)2011
- Author(s)
  都築正男
- Place of Presentation
  京大数理解析研究所
- Year and Date
  2011-01-20
- Data Source
  KAKENHI-PROJECT-20540090
[Presentation] Spectral square means of central values of automorphic L-functions for GL(2)2011
- Author(s)
  都築正男
- Place of Presentation
  京大数理解析研究所
- Year and Date
  2011-01-20
- Data Source
  KAKENHI-PROJECT-20540090
[Presentation] Spectral square means of central values of automorphic L-functions for GL(2)2011
- Author(s)
  Masao Tsuzuki
- Organizer
  保型形式と跡公式の周辺
- Place of Presentation
  京大数理解析研究所
- Year and Date
  2011-01-20
- Data Source
  KAKENHI-PROJECT-22540033
[Presentation] Spectral average of central values of automorphic L-functions for holomorphic cusp forms on the type IV symmetric domain2011
- Author(s)
  都築正男
- Organizer
  福岡数論研究集会
- Place of Presentation
  九州大学(招待講演)
- Year and Date
  2011-08-23
- Data Source
  KAKENHI-PROJECT-22540032
[Presentation] Spectral square means of central values of automorphic L-functions for GL(2)2011
- Author(s)
  Masao Tsuzuki
- Organizer
  保型形式と跡公式の周辺
- Place of Presentation
  京大数理解析研究所
- Year and Date
  2011-01-20
- Data Source
  KAKENHI-PROJECT-20540090
[Presentation] Spectral average of central values of autmorphic L-functions for holomorphic cusp forms on the type IV symmetric domain2011
- Author(s)
  都築正男
- Organizer
  福岡数論研究集会
- Place of Presentation
  九州大学(招待講演)
- Year and Date
  2011-08-23
- Data Source
  KAKENHI-PROJECT-22540033
[Presentation] Spectral average of central values of autmorphic L-functions for holomorphic cusp forms on the type IV symmetric domain2011
- Author(s)
  都築正男
- Organizer
  福岡数論研究集会
- Place of Presentation
  九州大学(伊都キャンパス)(招待講演)
- Year and Date
  2011-08-23
- Data Source
  KAKENHI-PROJECT-20540090
[Presentation] Limit formulas for spacial cycles on real hyperbolic spaces2009
- Author(s)
  都築正男
- Organizer
  RIMS研究集会「保型表現と保型L関数の数論的研究」
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2009-01-20
- Data Source
  KAKENHI-PROJECT-18540049
[Presentation] Limit formulas for special cycies on real hyperbolic spaces2009
- Author(s)
  Masao Tsuzuki
- Organizer
  保型表現と保型L関数の数論的研究
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2009-01-20
- Data Source
  KAKENHI-PROJECT-20540090
[Presentation] Limit formulas for spacial cycles on real hyperbolic spaces2009
- Author(s)
  都築正男
- Organizer
  研究集会「保型表現と保型L関数の数論的研究」
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2009-01-20
- Data Source
  KAKENHI-PROJECT-18540048
[Presentation] Limit period formulas for special cycles on real hyperbolic spaces2009
- Author(s)
  Masao Tsuzuki
- Place of Presentation
  数理解析研究所
- Year and Date
  2009-01-20
- Data Source
  KAKENHI-PROJECT-18540049
[Presentation] Limit formulas for special cycles on real hyperbolic spaces2009
- Author(s)
  都築正男
- Organizer
  RIMS 研究集会
- Place of Presentation
  京都大学
- Year and Date
  2009-01-20
- Data Source
  KAKENHI-PROJECT-18540049
[Presentation] Spectral square means for central values of L-functions on SL_2(Z)2009
- Author(s)
  Masao Tsuzuki
- Organizer
  International conference "Geometry and analysis of automorphic forms of several variables"
- Place of Presentation
  東京大学数理科学研究科
- Year and Date
  2009-09-17
- Data Source
  KAKENHI-PROJECT-18540049
[Presentation] Spectral square means of period integrals for wave forms on real hyperbolic spaces2008
- Author(s)
  Masao Tsuzuki
- Organizer
  研究集会[Automorphic representations, Automorphic forms, L-functions, and related topics]
- Place of Presentation
  数理解析研究所
- Year and Date
  2008-01-21
- Data Source
  KAKENHI-PROJECT-18540047
[Presentation] Spectral square means for period integrals of wave functions on real hyperbolic spaces2008
- Author(s)
  Masao Tsuzuki
- Organizer
  Summer school on spectral theory of automorphic forms
- Place of Presentation
  at Pstech, Pohan.
- Data Source
  KAKENHI-PROJECT-18540049
[Presentation] Spectral square means for period integrals of wave functions2008
- Author(s)
  都築正男
- Organizer
  RIMS 研究集会「保型表現、保型形式とL関数の周辺」
- Place of Presentation
  京都大学
- Year and Date
  2008-01-21
- Data Source
  KAKENHI-PROJECT-18540049
[Presentation] Spectral square means of period integrals for wave forms on real hyperbolic spaces2008
- Author(s)
  Masao Tsuzuki
- Organizer
  Summer school on spectral theory of automorphic forms
- Place of Presentation
  Postech Pohang
- Year and Date
  2008-08-13
- Data Source
  KAKENHI-PROJECT-20540090
[Presentation] SPECTRAL SQUARE MEANS FOR PERIOD INTEGRALS OF WAVE FUNCTIONS2008
- Author(s)
  Masao Tsuzuki
- Place of Presentation
  数理解析研究所
- Year and Date
  2008-01-21
- Data Source
  KAKENHI-PROJECT-18540049
[Presentation] Spectral square means of period integrals for wave forms on real hyperbolic spaces2008
- Author(s)
  Masao Tsuzuki
- Organizer
  Bummer school on spectral theory of automorphic forms
- Place of Presentation
  Postech Pohang
- Year and Date
  2008-08-13
- Data Source
  KAKENHI-PROJECT-18540048
[Presentation] Spectral square means of period integ rals for wave forms on real hyp erbolic spaces2008
- Author(s)
  Masao Tsuzuki
- Organizer
  Summer school on spe ctral theory of automorphic forms
- Place of Presentation
  at Postech Pohang
- Year and Date
  2008-08-13
- Data Source
  KAKENHI-PROJECT-18540049
[Presentation] Spectral zeta functions and spectral square means of periods of wave functions2007
- Author(s)
  Masao Tsuzuki
- Organizer
  The 10-th autum workshop on number theory
- Place of Presentation
  Hakuba
- Year and Date
  2007-11-24
- Data Source
  KAKENHI-PROJECT-18540049
[Presentation] SL_2(Z)上のマース形式の閉測地線に沿った周期積分に付随するスペクトラル型ゼータ関数について2007
- Author(s)
  都築正男
- Organizer
  福岡数論研究集会
- Place of Presentation
  九州大学
- Year and Date
  2007-08-29
- Data Source
  KAKENHI-PROJECT-18540049
[Presentation] SL_2(Z)上のMaass波動形式の閉測地線に沿った周期積分に付随するスペクトル型ゼータ関数について2007
- Author(s)
  都築正男
- Organizer
  福岡整数論研究集会
- Place of Presentation
  九州大学
- Year and Date
  2007-08-29
- Data Source
  KAKENHI-PROJECT-18540049
[Presentation] Spectal zeta functions and square mean of periods of wave forms2007
- Author(s)
  都築正男
- Organizer
  白馬保型形式オータムワークショップ
- Place of Presentation
  白馬ハイマウントホテル
- Year and Date
  2007-11-28
- Data Source
  KAKENHI-PROJECT-18540049
[Presentation] 保型熱核とその応用2007
- Author(s)
  都築正男
- Organizer
  第2回福岡数論研究集会
- Place of Presentation
  九州大学
- Year and Date
  2007-08-29
- Data Source
  KAKENHI-PROJECT-18540048
[Presentation] 対称空間に付随した算術商の上の保型グリーンカレントと保型熱核2007
- Author(s)
  都築正男
- Organizer
  2007 年度日本数学会代数学分科会特別講演
- Place of Presentation
  埼玉大学
- Year and Date
  2007-03-28
- Data Source
  KAKENHI-PROJECT-18540049
[Presentation] Fourier coefficient of the Poincare dual form of modular divisor on U(n, 1)2006
- Author(s)
  Masao Tsuzuki
- Organizer
  (at the Erwin Schr\"{o}dinger International Institute for Mathematical Physics
- Data Source
  KAKENHI-PROJECT-18540049
[Presentation] Equidistribution and subconvexity bound related to certain L-values
- Author(s)
  都築正男
- Organizer
  ２０１４早稲田整数論研究集会
- Place of Presentation
  早稲田大学理工学部
- Invited
- Data Source
  KAKENHI-PROJECT-22540033
[Presentation] Equidistribution of Hecke operators on special cycles of compact Shimura varieties
- Author(s)
  都築正男
- Organizer
  保型形式および関連するゼータ関数の研究
- Place of Presentation
  京都大学数理解析研究所
- Invited
- Data Source
  KAKENHI-PROJECT-22540033
[Presentation] 保型形式の周期の平均分布
- Author(s)
  都築正男
- Organizer
  代数学シンポジウム
- Place of Presentation
  京都大学
- Invited
- Data Source
  KAKENHI-PROJECT-24540021
[Presentation] 保型形式の周期の平均分布
- Author(s)
  都築正男
- Organizer
  第57回代数学シンポジウム
- Place of Presentation
  京都大学
- Invited
- Data Source
  KAKENHI-PROJECT-22540032
[Presentation] Equidistribution of Hecke operators on special cycles of compact Shimura varoeties
- Author(s)
  都築　正男
- Organizer
  研究集会「保型形式および関連するゼータ関数の研究」
- Place of Presentation
  京都大学数理解析研究所
- Invited
- Data Source
  KAKENHI-PROJECT-22540032
[Presentation] Equidistribution and subconvexity bound related to certain L-values
- Author(s)
  都築　正男
- Organizer
  ２０１４早稲田整数論研究集会
- Place of Presentation
  早稲田大学理工学部
- Invited
- Data Source
  KAKENHI-PROJECT-22540032
[Presentation] Harmonic analysis on G/H and Plancherel formula
- Author(s)
  Masao Tsuzuki
- Organizer
  第１６回整数論オータムワークショップ
- Place of Presentation
  白馬ハイマウントホテル
- Invited
- Data Source
  KAKENHI-PROJECT-24540021

1. GOMI Yasushi (50276515)

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2. TSUNOGAI Hiroshi (20267412)

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26. HAMAHATA Yoshinori (90260645)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
27. HIRANO Miki (80314946)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
28. ISHIDA Masashi (50349023)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
29. NAKASUJI Maki (30609871)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
30. YASUDA Seidai (90346065)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
31. TAKANO Keiji (40332043)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
32. GOTO Satoshi (00286759)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
33. 杉山真吾 (70821817)

# of Collaborated Projects: 2 results

# of Collaborated Products: 2 results
34. ICHIKAWA Takashi (20201923)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
35. TSUNOGAI Hiroshi (20267416)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
36. MIYAUCHI Michitaka (70533644)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
37. 大内忠 (00087082)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
38. 並河良典 (80228080)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
39. 小林俊行 (80201490)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
40. 吉川謙一 (20242810)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
41. 鈴木美裕 (50916517)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

Tsuzuki Masao 都築 正男

TSUZUKI Masao 都築 正男

都築 正男 ツヅキ マサオ

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2次非正則ジーゲル保型形式の周期積分の研究Principal Investigator

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代数的保型形式の次元評価Principal Investigator

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Explicit Fourier transform of trace formulas and its applications to arithmeticPrincipal Investigator

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Periods of automorphic forms and distribution of average of special values of L-functionsPrincipal Investigator

Tsuzuki Masao 都築正男

TSUZUKI Masao 都築正男

都築正男ツヅキマサオ