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Researcher Information

last modified:2019/03/11

Professor WAKATSUKI Satoshi

Mail Laboratory Website

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


 TEL:076-264-5655 FAX:076-264-5738

Academic Background

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


JSPS fellowship(2005/04/01-2006/03/31)
Kanazawa University Assistant(2006/04/01-2007/03/31)
Kanazawa University Assistant Professor(2007/04/01-2012/03/31)
Kanazawa University  Faculty of Mathematics and Physics Associate Professor(2012/04/01-)

Year & Month of Birth


Academic Society

Mathematical Society of Japan




Speciality Keywords

Number Theory. Modular Form

Research Themes

Explicit trace formulas of Hecke operators on spaces of modular forms of several variables



  •  The dimensions of spaces of Siegel cusp forms of general degree Satoshi Wakatsuki Advances in Mathematics 340 1012-1066 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 Geometric Aspects of the Trace Formula. SSTF 2016. Simons Symposia. 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 255 2018
  •  Congruences modulo 2 for dimensions of spaces of cusp forms Satoshi Wakatsuki JOURNAL OF NUMBER THEORY 140 169--180 2014
  •  Multiplicity formulas for discrete series representations in L2(Γ∖Sp(2,R)) JOURNAL OF NUMBER THEORY 133 10 3394--3425 2013/10

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  •  Dimension formulas for spaces of vector valued Siegel cusp forms of degree two JOURNAL OF NUMBER THEORY 132 200-253 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 1525-1541 2009/12
  •  Siegel modular forms of small weight and the Witt operator Tomoyoshi Ibukiyama, Satoshi Wakatsuki Contemp. Math. 493 189-209 2009/02
  •  Igusa local zeta functions and integration formulas associated to equivariant maps OSAKA JOURNAL OF MATHEMATICS 42 2005/06
  •  The Igusa local zeta function of the simple prehomogeneous vector space $(GL(1)^4\times SL(2n+1),\Lambda_2\oplus \Lambda_1\oplus \Lambda_1\oplus \Lambda_1)$ JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN 57 2005/01
  •  $b$-Functions of regular $2$-simple prehomogeneous vector spaces associated to the symplectic group and the orthogonal group Comment. Math. Univ. St. Pauli 53 2004/12
  •  Igusa local zeta functions of regular $2$-simple prehomogeneous vector spaces of type I with universally transitive open orbits Math. J. Okayama Univ. 46 2004/12

Conference Presentations

Arts and Fieldwork


Theme to the desired joint research

Grant-in-Aid for Scientific Research


Classes (Bachelors)

○Linear Spaces A(2017)
○Linear Spaces B(2017)
○Linear Spaces B(2017)
○Linear Spaces A(2017)
○Differential and Integral Calculus 2(2017)
○Algebra 2A(2016)
○Algebra 2B(2016)

Classes (Graduate Schools)

○Topics in Number Theory(2017)
○Topics in Number Theory(2017)
○Topics in Number Theory(2017)
○Exercise A(2017)
○Research Work A(2017)
○Seminar A(2017)
○Algebra IIa(2017)
○Topics in Number Theory(2017)
○Algebra IIb(2017)
○Seminar A(2016)
○Research Work A(2016)
○Exercise A(2016)
○Algebra IIa(2016)
○Algebra IIb(2016)
○Topics in Number Theory(2016)

International Project

International Students

Lecture themes

Others (Social Activities)

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