WAKATSUKI Satoshi - Directory of Researchers at Kanazawa University

Faculty, Affiliation

Faculty of Mathematics and Physics, Institute of Science and Engineering

College and School Educational Field

Division of Mathematical and Physical Science, Graduate School of Natural Science and Technology
Division of Mathematical and Physical Sciences, Graduate School of Natural Science and Technology
School of Mathematics and Physics, College of Science and Engineering

Laboratory

Academic Background

【Academic background(Doctoral/Master's Degree)】
Osaka University　Doctor　Graduate School, Division of Natural Science　200503　Completed
Osaka University　Master　Graduate School, Division of Natural Science　200203　Completed
【Academic background(Bachelor's Degree)】
Osaka University　200003
【Degree】
Doctor of Science
Master of Science

Career

Kyoto University(2005/04-2006/03)
Kanazawa University　Assistant(2006/04-2007/03)
Kanazawa University　Assistant Professor(2007/04-2008/03)
Kanazawa University　Institute of Science and Engineering Faculty of Mathematics and Physics　Assistant Professor(2008/04-2012/03)
Kanazawa University　Institute of Science and Engineering Faculty of Mathematics and Physics　Associate Professor(2012/04-2018/11)
Kanazawa University　Institute of Science and Engineering Faculty of Mathematics and Physics　Professor(2018/12-)

Year & Month of Birth

1977/11

Academic Society

The Japan Society for Industrial and Applied Mathematics
The Mathematical Society of Japan

Award

The Mathematical Society of Japan

Specialities

Number theory

Speciality Keywords

Automorphic form, Automorphic representation, Trace formula, Shintani zeta function, Automorphic period, Quaternion algebra, Quadratic form.

Research Themes

Quadratic form and Cryptography

Prehomogeneous zeta function

Asymptotic behavior of Hecke eigenvalues

Asymptotic behavior of automorphic periods

Books

Papers

　Mass formulas and Eisenstein congruences in higher rank　Kimball Martin,Satoshi Wakatsuki　Journal of Number Theory　257　249　2024/04
　Distribution of toric periods of modular forms on definite quaternion algebras　Miyu Suzuki,Satoshi Wakatsuki,Shun’ichi Yokoyama　Research in Number Theory　8　4　2022/12　
　Asymptotics for Hecke eigenvalues of automorphic forms on compact arithmetic quotients　Pablo Ramacher,Satoshi Wakatsuki　Advances in Mathematics　404　108372　2022/08
　The Shintani double zeta functions　Henry H. Kim,Masao Tsuzuki,Satoshi Wakatsuki　Forum Mathematicum　34　2　469　2022/03/01　?
　Subconvex bounds for Hecke–Maass forms on compact arithmetic quotients of semisimple Lie groups　Pablo Ramacher,Satoshi Wakatsuki　Mathematische Zeitschrift　298　1383　2021/08

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　Equidistribution theorems for holomorphic Siegel modular forms for $$GSp_4$$; Hecke fields and n-level density　Henry H. Kim,Satoshi Wakatsuki,Takuya Yamauchi　Mathematische Zeitschrift　295　3-4　917　2020/08　
　An equidistribution theorem for holomorphic Siegel modular forms for GSp_4　Henry H. Kim,Satoshi Wakatsuki,Takuya Yamauchi　Journal of the Institute of Mathematics of Jussieu　19　2　351　2020/03
　The dimensions of spaces of Siegel cusp forms of general degree　S. Wakatsuki　Advances in Mathematics　340　1012　2018
　The subregular unipotent contribution to the geometric side of the Arthur trace formula for the split exceptional group G_2　Tobias Finis, Werner Hoffmann, Satoshi Wakatsuki　Proceedings of the Simons symposium　163　2018
　On the Geometric Side of the Arthur Trace Formula for the Symplectic Group of Rank 2　Werner Hoffmann,Satoshi Wakatsuki　Memoirs of the American Mathematical Society　1224　2018
　Congruences modulo 2 for dimensions of spaces of cusp forms　Satoshi Wakatsuki　JOURNAL OF NUMBER THEORY　140　169　2014/07
　Multiplicity formulas for discrete series representations in L-2(Gamma\Sp(2, R))　Satoshi Wakatsuki　JOURNAL OF NUMBER THEORY　133　10　3394　2013/10
　Dimension formulas for spaces of vector-valued Siegel cusp forms of degree two　Satoshi Wakatsuki　JOURNAL OF NUMBER THEORY　132　1　200　2012/01
　RELATIONS AMONG DIRICHLET SERIES WHOSE COEFFICIENTS ARE CLASS NUMBERS OF BINARY CUBIC FORMS　Yasuo Ohno,Takashi Taniguchi,Satoshi Wakatsuki　AMERICAN JOURNAL OF MATHEMATICS　131　6　1525　2009/12
　Siegel modular forms of small weight and the Witt operator　Tomoyoshi Ibukiyama, Satoshi Wakatsuki　Contemp. Math.　493　189　2009
　Igusa local zeta functions and integration formulas associated to equivariant maps　S Wakatsuki　OSAKA JOURNAL OF MATHEMATICS　42　2　463　2005/06
　The Igusa local zeta function of the simple prehomogeneous vector space (GL(1)(4)xSL(2n+1), Lambda(2)circle plus Lambda(1)circle plus Lambda(1)circle plus Lambda(1))　S Wakatsuki　JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN　57　1　115　2005/01
　Igusa local zeta functions of regular $2$-simple prehomogeneous vector spaces of type I with universally transitive open orbits　S. Wakatsuki　Math. J. Okayama Univ.　46　1　85　2004　
　$b$-Functions of regular $2$-simple prehomogeneous vector spaces associated to the symplectic group and the orthogonal group　S. Wakatsuki　Comment. Math. Univ. St. Pauli　53　2　121　2004
　Distribution of Hecke eigenvalues for holomorphic Siegel modular forms　Henry H. Kim,Satoshi Wakatsuki,Takuya Yamauchi　Acta Arithmetica　215　2　161　2024
　Equidistribution theorems for holomorphic Siegel cusp forms of general degree: the level aspect　Henry H. Kim,Satoshi Wakatsuki,Takuya Yamauchi　Algebra & Number Theory　18　5　993　2024/04/16　?

Conference Presentations

Others

　 EQUIDISTRIBUTION THEOREM FOR HOLOMORPHIC SIEGEL MODULAR FORMS　KIM,HENRY H. / WAKATSUKI,SATOSHI / YAMAUCHI,TAKUYA　RIMS Kôkyûroku 　2136　207‐‐217　2019/12
　Multiplicity formulas for large discrete series representations of Sp(2,R)　2009
　On traces of Hecke operators on spaces of Siegel cusp forms of degree two (Automorphic Representations, Automorphic Forms, L-functions, and Related Topics)　Wakatsuki Satoshi　RIMS Kokyuroku　1617　193　2008/10
　AN EXPLICIT DIMENSION FORMULA FOR THE SPACES OF VECTOR VALUED SIEGEL CUSP FORMS OF DEGREE TWO(Automorphic Forms and Automorphic L-Functions)　Wakatsuki Satoshi　RIMS Kokyuroku　1468　163　2006/02
　b-Functions of prehomogeneous vector spaces　2003

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Arts and Fieldwork

Patent

Theme to the desired joint research

○Number theory
○cryptography

Grant-in-Aid for Scientific Research

○「保型形式の周期の非消滅定理と漸近公式の研究」(2021-2025)　
○「代数的保型形式の次元評価」(2020-2023)　
○「ヘッケ固有値の漸近公式とアーサー跡公式の研究」(2018-2020)　
○「アーサー跡公式の幾何サイドの研究と明示的跡公式への応用」(2014-2017)　
○「多変数保型形式の空間上のヘッケ作用素の明示的跡公式」(2008-2011)　
○「有界称領域上のカスプ形式の空間の明示的次元公式」(2006-2007)　

Professor　WAKATSUKI Satoshi

Faculty, Affiliation

College and School Educational Field

Laboratory

Academic Background

Career

Year & Month of Birth

Academic Society

Award

Specialities

Speciality Keywords

Research Themes

Quadratic form and Cryptography

Prehomogeneous zeta function

Asymptotic behavior of Hecke eigenvalues

Asymptotic behavior of automorphic periods

Books

Papers

Conference Presentations

Others

Arts and Fieldwork

Patent

Theme to the desired joint research

Grant-in-Aid for Scientific Research

Competitive research funding,Contribution

Collaborative research,Consignment study

Classes (Bachelors)

Classes (Graduate Schools)

International Project

International Students

Lecture themes

Others (Social Activities)

Professor WAKATSUKI Satoshi

Faculty, Affiliation

College and School Educational Field

Laboratory

Academic Background

Career

Year & Month of Birth

Academic Society

Award

Specialities

Speciality Keywords

Research Themes

Quadratic form and Cryptography

Prehomogeneous zeta function

Asymptotic behavior of Hecke eigenvalues

Asymptotic behavior of automorphic periods

Books

Papers

Conference Presentations

Others

Arts and Fieldwork

Patent

Theme to the desired joint research

Grant-in-Aid for Scientific Research

Competitive research funding,Contribution

Collaborative research,Consignment study

Classes (Bachelors)

Classes (Graduate Schools)

International Project

International Students

Lecture themes

Others (Social Activities)

Professor　WAKATSUKI Satoshi