Research keywords (5):
整数論
, 代数群
, ゼータ関数
, 概均質ベクトル空間
, Arithmetic of algebraic groups
Research theme for competitive and other funds (20):
2013 - 2016 Zeta functions of prehomogeneous vector spaces and automorphic distributions
2012 - 2015 Zeta functions associated with automorphic distributions and an analytic number theory of quartic forms
2008 - 2011 概均質ベクトル空間のゼータ関数の研究
2004 - 2008 概均質ベクトル空間のゼータ関数と保型形式の関連
2003 - 2005 Study on interrelations among quadratic forms, automorphic forms and related various zeta-functions
2000 - 2004 概均質ベクトル空間論と表現論・保型形式論の関連の研究
2002 - 2004 Study on the dimension formula of automorphic forms associated with an integrable representation
2001 - 2003 擬リーマン対称空間上の数論的解析学
2000 - 2002 Study of zeta functions related to Jacobi forms and Siegel modular forms
1998 - 2001 極小表現に基づくテータ級数の一般化
1997 - 2000 弱球等質空間のゼ-タ関数の研究
1997 - 1998 素因数分解法の総合的研究
1995 - 1996 弱球等質空間上のアイゼンシュタイン級数
1996 - 1996 ヤコビー形式に関連した数論的関数の研究
1983 - 1994 p進体上の半単純対称空間の球関数の研究
1991 - 1992 概均質ベクトル空間のゼータ関数の研究
1989 - 1990 等質空間上のゼータ関数の研究
1980 - 1980 概白質ベクトル空間の多変数Zeta関数の研究
Eisenstein series on weakly spherical homogeneous spaces
弱球型等質空間のアイゼンシュタイン級数
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Papers (45):
KOGISO Takeyoshi, SATO Fumihiro. Local functional equations attached to the polarizations of homaloidal polynomials. Kyushu Journal of Mathematics. 2018. 72. 2. 307-331
SATO Fumihiro. Hopf mappings and automorphic forms on orthogonal groups. RIMS Kokyuroku. 2017. 2055. 45-54
Sato Fumihiro, Kogiso Takeyoshi. Representations of Clifford algebras and quartic polynomials with local functional equations (Automorphic Representations, Automorphic Forms, L-functions, and Related Topics). RIMS Kokyuroku. 2008. 1617. 51-62
SATO Fumihiro. The Recent Technology of Home Electrical Appliances Listed in the Toprunner Program. Energy and resources. 2004. 25. 5. 312-316
Sato Fumihiro. Hecke-eigenfunctions on the space of rational binary quadratic forms and periods of Maass wave forms(Analytic Number Theory). RIMS Kokyuroku. 1994. 886. 128-148
Sato Fumihiro. Zeta functions of prehomogeneous vector spaces with coefficients related to periods of automorphic forms(Algebraic Analysis and Number Theory). RIMS Kokyuroku. 1992. 810. 280-304
Sato Fumihiro. The Maass Zeta Function Attached to Positive Definite Quadratic Forms(Theory of Prehomogeneous vector spaces). RIMS Kokyuroku. 1990. 718. 192-222
Books (1):
Automorphic Forms and Zeta Functions, Proceedings of the conference in memory of Tsuneo Arakawa
World Scientific Publishing 2006
Education (3):
- 1977 The University of Tokyo Graduate School, Division of Science
- 1975 The University of Tokyo Graduate School, Division of Science
- 1973 The University of Tokyo Faculty of Science
Professional career (2):
理学修士
理学博士 (東京大学)
Work history (12):
2015/04 - 現在 Rikkyo University Professor emeritus
1998/04/01 - 現在 RIKKYO UNIVERSITY College of Science Department of Mathematics Professor
1998/04 - 2015/03 Rikkyo University College of Science Department of Mathematics Professor
2006/03/01 - 2006/03/31 フランス国 Strasbourg大学 客員教授
1987/04/01 - 1998/03/31 RIKKYO UNIVERSITY College of Science Department of Mathematics Associate Professor (as old post name)