Rchr
J-GLOBAL ID：200901057835950239
Update date: Aug. 26, 2024
Wakatsuki Satoshi
ワカツキ サトシ | Wakatsuki Satoshi
Affiliation and department：
Job title：
Professor
Homepage URL (2)：
https://wakatsuki.w3.kanazawa-u.ac.jp/index.html
,
https://wakatsuki.w3.kanazawa-u.ac.jp/english.html
Research field (1)：
Algebra
Research keywords (7)：
Quadratic form
, 四元数環
, 保型周期
, Automorphic representation
, Shintani zeta function
, Trace formula
, Automorphic form
Research theme for competitive and other funds (14)：
- 2021 - 2026 保型形式の周期の非消滅定理と漸近公式の研究
- 2020 - 2024 代数的保型形式の次元評価
- 2018 - 2022 Asymptotic formula of Hecke eigenvalues and research of Arthur trace formula
- 2015 - 2019 Explicit Fourier transform of trace formulas and its applications to arithmetic
- 2014 - 2018 The geometric side of the Arthur trace formula and applications to explicit trace formulas
- 2013 - 2018 Explicit study of number theory of automorphic forms of several variables related to trace formulas.
- 2011 - 2015 Arithmetic study of automorphic forms of many variables by various method
- 2009 - 2014 Explicit study of arithmetic structures of automorphic forms of several variables and trace formulas
- 2008 - 2011 Explicit trace formulas for Hecke operators on spaces of modular forms of several variables
- 2008 - 2010 A study of zeta functions of prehomogeneous vector spaces and multiple zeta values
- 2007 - 2008 Towards ramification theory of automorphic representations : Ramified representations and their L-factors
- 2006 - 2007 有界称領域上のカスプ形式の空間の明示的次元公式
- 2005 - 2007 有界対称領域上のカスプ形式の明示的次元公式
- 2005 - 2007 非簡約代数群上の保型形式・保型L関数の研究
Show all
Papers (21)：
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Henry H. Kim, Satoshi Wakatsuki, Takuya Yamauchi. Equidistribution theorems for holomorphic Siegel cusp forms of general degree: the level aspect. Algebra & Number Theory. 2024. 18. 5. 993-1038
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Kimball Martin, Satoshi Wakatsuki. Mass formulas and Eisenstein congruences in higher rank. Journal of Number Theory. 2024. 257. 249-272
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Henry H. Kim, Satoshi Wakatsuki, Takuya Yamauchi. Distribution of Hecke eigenvalues for holomorphic Siegel modular forms. Acta Arithmetica. 2024. 215. 2. 161-177
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Miyu Suzuki, Satoshi Wakatsuki, Shun’ichi Yokoyama. Distribution of toric periods of modular forms on definite quaternion algebras. Research in Number Theory. 2022. 8. 4
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Pablo Ramacher, Satoshi Wakatsuki. Asymptotics for Hecke eigenvalues of automorphic forms on compact arithmetic quotients. Advances in Mathematics. 2022. 404. 108372-108372
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MISC (5)：
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若槻 聡. 階数2のシンプレクティック群に関するユニポテント軌道積分の係数について (保型表現とその周辺). 数理解析研究所講究録. 2013. 1871. 18-27
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若槻 聡. カスプ形式の空間の次元についての法2の合同式 (保型形式と関連する跡公式, ゼータ関数の研究). 数理解析研究所講究録. 2011. 1767. 188-197
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Wakatsuki Satoshi. On traces of Hecke operators on spaces of Siegel cusp forms of degree two (Automorphic Representations, Automorphic Forms, L-functions, and Related Topics). RIMS Kokyuroku. 2008. 1617. 193-205
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Wakatsuki Satoshi. AN EXPLICIT DIMENSION FORMULA FOR THE SPACES OF VECTOR VALUED SIEGEL CUSP FORMS OF DEGREE TWO(Automorphic Forms and Automorphic L-Functions). RIMS Kokyuroku. 2006. 1468. 163-175
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Wakatsuki Satoshi. Some $b$-functions of regular 2-simple prehomogeneous vector spaces of type I (Automorphic Forms and their Dirichlet series). RIMS Kokyuroku. 2002. 1281. 154-166
Education (3)：
- 2002 - 2005 Osaka University Graduate School of Science Department of Mathematics
- 2000 - 2002 Osaka University Graduate School of Science Department of Mathematics
- 1997 - 2000 Osaka University School of Science
Professional career (2)：
- Doctor of Science (Osaka University)
- Master of Science (Osaka University)
Work history (6)：
Awards (1)：
- 2023/03 - 日本数学会 日本数学会代数学賞 ジーゲル保型形式の明示的次元公式の研究
Association Membership(s) (2)：
The Mathematical Society of Japan
, The Japan Society for Industrial and Applied Mathematics
