Tsuzuki Masao - My portal

Profile Information

Affiliation: Professor, Faculty of Science and Technology, Department of Information and Communication Sciences, Sophia University

Degree: 博士（数理科学）(東京大学)

Researcher number: 80296946
J-GLOBAL ID: 200901059192358429
researchmap Member ID: 6000003376

(研究テーマ)
保型形式と付随するＬ関数について

Research Interests

整数論（保型形式とＬ関数）

Research Areas

Natural sciences / Algebra /

Papers

Quantitative non-vanishing of central values of certain L-functions on $${ { \text {GL } } }(2)\times { { \text {GL } } }(3)$$

Shingo Sugiyama, Masao Tsuzuki

Mathematische Zeitschrift, 301(2) 1447-1479, Jun, 2022 Peer-reviewedLead author
The Shintani double zeta functions

Henry H. Kim, Masao Tsuzuki, Satoshi Wakatsuki

Forum Mathematicum, 34(2) 469-505, Mar 1, 2022
Hecke-Maass cusp forms on PGL of large levels with non-vanishing L-values

Masao Tsuzuki

Journal of Functional Analysis, 281(10) 109215-109215, Nov, 2021 Peer-reviewedLead author
Optimal estimate for an average of Hurwitz class numbers

Shingo Sugiyama, Masao Tsuzuki

The Ramanujan Journal, 2019 Peer-reviewed
Relative trace formulas for unitary hyperbolic spaces

Masao Tsuzuki

Kyoto Journal of Mathematics, 58(2) 427-491, 2018 Peer-reviewed
An explict trace formula of Jacquet-Zagier type for Hilbert modular forms

Shingo Sugiyama, Masao Tsuzuki

Journal of Functional Analysis, 275(11) 2978-3064, 2018 Peer-reviewed
Orbital Integrals on Unitary Hyperbolic Spaces Over p-adic Fields

Masao Tsuzuki

TOKYO JOURNAL OF MATHEMATICS, 39(3) 923-975, Mar, 2017 Peer-reviewed
Existence of Hilbert Cusp Forms with Non-vanishing L-values

Shingo Sugiyama, Masao Tsuzuki

CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 68(4) 908-960, Aug, 2016 Peer-reviewed
Relative trace formulas and subconvexity estimates for L-functions of Hilbert modular form

Shingo Sugiyama, Masao Tsuzuki

ACTA ARITHMETICA, 176(1) 1-63, 2016 Peer-reviewed
Spectral average of central values of automorphic L-functions for holomorphic cusp forms on SO0(m, 2), I

Masao Tsuzuki

JOURNAL OF NUMBER THEORY, 132(11) 2407-2454, Nov, 2012 Peer-reviewed
Limit formulas of period integrals for a certain symmetric pair II

Masao Tsuzuki

JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 63(3) 1039-1084, Jul, 2011 Peer-reviewed
Spectral square means for period integrals of wave functions on real hyperbolic spaces

Masao Tsuzuki

JOURNAL OF NUMBER THEORY, 129(10) 2387-2438, Oct, 2009 Peer-reviewed
CERTAIN RANKIN-SELBERG INTEGRALS FOR UNITARY GROUPS

Masao Tsuzuki

TOHOKU MATHEMATICAL JOURNAL, 61(1) 115-164, Mar, 2009 Peer-reviewed
The Secondary Spherical Functions and Automorphic Green Currents for Certain Symmetric Pairs

Takayuki Oda, Masao Tsuzuki

PURE AND APPLIED MATHEMATICS QUARTERLY, 5(3) 977-1028, 2009 Peer-reviewedInvited
Limit formulas of period integrals for a certain symmetric pair

Masao Tsuzuki

JOURNAL OF FUNCTIONAL ANALYSIS, 255(5) 1139-1190, Sep, 2008 Peer-reviewed
Green currents for modular cycles in arithmetic quotients of complex hyperballs

Masao Tsuzuki

PACIFIC JOURNAL OF MATHEMATICS, 227(2) 311-359, Oct, 2006
Certain Poincare series and period-integrals of Eisenstein series on R-rank one classical groups

TSUZUKI MASAO

Commentarii Mathematici Universitatis Sancti Pauli, 53(1) 37-75, Jun, 2004 Peer-reviewed
Automorphic green functions associated with the secondary spherical functions

T Oda, M Tsuzuki

PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, 39(3) 451-533, Nov, 2003
Real Shintani Functions on U(n,1)III,Construction of Intertwining Operators

TSUZUKI MASAO

Journal of Mathematical Sciences, The University of Tokyo, 9(1) 165-215, 2002
The resolvent trace formula on rank one Lie groups

TSUZUKI MASAO, Yasuro, Gon

Asian Journal of Mathematics, 6(2) 227-252, 2002

Books and Other Publications

Spectral square means of central values of automorphic L-functions for GL(2)

Tsuzuki Masao

American Mathematical Society, 2015 (ISBN: 9781470410193)

Research Projects

保型形式の周期の非消滅定理と漸近公式の研究

科学研究費助成事業, 基盤研究(B), 日本学術振興会, Apr, 2021 - Mar, 2026

若槻聡, 鈴木美裕, 杉山真吾, 都築正男
代数的保型形式の次元評価

科学研究費助成事業, 基盤研究(C), 日本学術振興会, Apr, 2020 - Mar, 2024

都築正男, 若槻聡, 権寧魯, 杉山真吾
Research on arithmetic of number fields and coverings with non-commutative Galois groups

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, Apr, 2018 - Mar, 2023
Asymptotic formula of Hecke eigenvalues and research of Arthur trace formula

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, Apr, 2018 - Mar, 2022

Wakatsuki Satoshi
Explicit Fourier transform of trace formulas and its applications to arithmetic

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, Apr, 2015 - Mar, 2019

Tsuzuki Masao
Ramification theory of automorphic representations and arithmetic of special L-values

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, Apr, 2015 - Mar, 2018

Yoshi-Hiro Ishikawa
Generalization of the Ricci flow

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, Apr, 2013 - Mar, 2018

Ishida Masashi
Resolvent type trace formulas, automorphic forms and zeta functions

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, Apr, 2014 - Mar, 2017

GON Yasuro, TSUZUKI Masao
Ramified components of automorphic representations: local theory and its application to special L-values

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, Apr, 2012 - Mar, 2015

ISHIKAWA YOSHI-HIRO, TSUZUKI Masao, YASUDA Seidai, TAKANO Keiji, MIYAUCHI Michitaka
Arithmetic study of automorphic forms of many variables by various method

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (A), Japan Society for the Promotion of Science, Apr, 2011 - Mar, 2015

ODA Takayuki, HIRONAKA Yumiko, WAKATSUKI Satoshi, KOSEKI Harutaka, HAYATA Takahiro, TSUZUKI Masao, HIRANO Miki, GON Yasuro, ISHI Taku
Periods of automorphic forms and distribution of average of special values of L-functions

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, Apr, 2010 - Mar, 2015

TSUZUKI Masao, TSUNOGAI Hiroshi, MORIYAMA Tomonori
A computational research on number fields and coverings with non-commutative Galois groups

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, Apr, 2010 - Mar, 2015

TSUNOGAI Hiroshi, TSUZUKI Masao, GOMI Yasushi, UMEGAKI Atsuki, KOMATSU Toru, NAKASUJI Maki, RIKUNA Yuichi, HOSHI Akinari
Construction of tropical R maps on geometric crystals and its applications to crystal bases

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, Apr, 2010 - Mar, 2015

NAKASHIMA Toshiki, TSUZUKI Masao, GOMI Yasushi
Study of automorphic forms and zeta functions by using generalized or refined resolvent type trace formulas

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, 2011 - 2013

GON Yasuro, TSUZUKI Masao
Gauge theoretical approach to Einstein metrics and Ricci flow

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, 2008 - 2012

ISHIDA Masashi, TSUZUKI Masao
Analysis, geometry and arithmetic of automorphic forms of many variables and higher dimensional modular varieties

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (A), Japan Society for the Promotion of Science, 2007 - 2010

ODA Takayuki, ISHII Taku, ICHIKAWA Takashi, IBUKIYAMA Tomoyoshi, ARIYAMA Kazutoshi, KOSEKI Harutaka, SATO Fumihiro, SUGANO Takashi, TSUZUKI Masao, HAYATA Takahiro, HAMAHATA Yoshinori, HIRANO Miki, HIRONAKA Yumiko, MURASE Atsushi, WATANABE Takao
Construction of affine geometric crystals and Representation theory of crystal bases

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, 2007 - 2009

NAKASHIMA Toshiki, SHINODA Kenーichi, TSUZUKI Masao, GOMI Yasushi
Green functions and relative trace formulas

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, 2006 - 2009

TSUZUKI Masao, GOMI Yasushi, MORIYAMA Tomonori
A computational study on extensions of algebraic number fields with non-commutative Galois groups

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, 2006 - 2009

TSUNOGAI Hiroshi, TSUZUKI Masao, UMEGAKI Atsuki, MORIYAMA Tomonori, RIKUNA Yuuichi, HOSHI Akinari, KOMATSU Tooru
Representations of finite reductive groups and applications

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, 2006 - 2008

SHINODA Ken-ichi, GOMI Yasushi, NAKASHIMA Toshiki, TSUZUKI Masao, TSUNOGAI Hiroshi