Japanese/English

WAKATSUKI Satoshi

Professor, Faculty of Mathematics and Physics, Institute of Science and Engineering, Kanazawa University
Kakumamachi, Kanazawa, Ishikawa, 920-1192, Japan.
E-mail:
Research Interests: Automorphic form, Automorphic representation, Trace formula, Shintani zeta function, Automorphic period, Quaternion algebra, Quadratic form.

Papers

  1. Asymptotic behavior for twisted traces of self-dual and conjugate self-dual representations of GL_n (with Y. Takanashi), arXiv:2402.11945, 2024, submitted.
  2. Computations of algebraic modular forms associated with the definite quaternion algebra of discriminant 2 (with H. Ochiai and S. Yokoyama), arXiv:2312.15893, revised on June 4th 2024, submitted.
    Here is the database of bases of spaces of algebraic modular forms.
  3. Non-vanishing theorems for prime twists of some modular L-functions (with M. Chida), arXiv:2310.19496, 2023, submitted.
  4. Explicit mean value theorems for toric periods and automorphic L-functions (with M. Suzuki, Appendix by authors and S. Yokoyama), arXiv:2103.04589, revised on June 5th 2024, submitted.
  5. Zeta functions and nonvanishing theorems for toric periods on GL_2 (with M. Suzuki), arXiv:2005.02017, revised on June 5th 2024, submitted.
  6. Distribution of Hecke eigenvalues for holomorphic Siegel modular forms (with H. Kim and T. Yamauchi), Acta Arithmetica 215 (2024), 161--177. link
  7. Equidistribution theorems for holomorphic Siegel cusp forms of general degree: the level aspect (with H. Kim and T. Yamauchi), Algebra Number Theory 18 (2024), 993--1038. arXiv link
  8. Mass formulas and Eisenstein congruences in higher rank (with K. Martin), J. Number Theory 257 (2024), 249--272. arXiv link
  9. Distribution of toric periods of modular forms on definite quaternion algebras (with M. Suzuki and S. Yokoyama), Res. Number Theory 8 (2022), Article number: 90. arXiv link BEER
    Here are some graphs for distributions of toric periods.
  10. Asymptotics for Hecke eigenvalues of automorphic forms on compact arithmetic quotients (with P. Ramacher), Adv. Math. 404 Part A (2022), 108372. arXiv link
  11. The Shintani double zeta functions (with H. Kim and M. Tsuzuki), Forum Mathematicum 34 (2022), 469--505. arXiv link
    The published version includes an appendix in which we explained prior works.
  12. Subconvex bounds for Hecke-Maass forms on compact arithmetic quotients of semisimple Lie groups (with P. Ramacher), Math. Z. 298 (2021), 1383--1424. arXiv link
  13. Equidistribution theorems for holomorphic Siegel modular forms for GSp_4; Hecke fields and n-level density (with H. Kim and T. Yamauchi), Math. Z. 295 (2020), 917--943. arXiv link
  14. An equidistribution theorem for holomorphic Siegel modular forms for GSp_4 (with H. Kim and T. Yamauchi), J. Inst. Math. Jussieu 19 (2020), 351--419. arXiv link
  15. The dimensions of spaces of Siegel cusp forms of general degree, Adv. Math. 340 (2018), 1012--1066. arXiv link
  16. The subregular unipotent contribution to the geometric side of the Arthur trace formula for the split exceptional group G_2 (with T. Finis and W. Hoffmann), Geometric Aspects of the Trace Formula, Proceedings of the Simons symposium, Schloss Elmau, Germany, April 10--April 16, 2016. Simons Symposia, 163--182 (2018). arXiv link
  17. On the geometric side of the Arthur trace formula for the symplectic group of rank 2 (with W. Hoffmann), Mem. Amer. Math. Soc. 255 (2018), no. 1224. arXiv link
  18. Congruences modulo 2 for dimensions of spaces of cusp forms, J. Number Theory 140 (2014), 169--180. link erratum
  19. Multiplicity formulas for discrete series representations in L2(Γ∖Sp(2,R)), J. Number Theory 133 (2013), 3394--3425. link
  20. Dimension formulas for spaces of vector-valued Siegel cusp forms of degree two, J. Number Theory 132 (2012), 200--253. link
  21. Relations among Dirichlet series whose coefficients are class numbers of binary cubic forms, Amer. J. Math. 131 (2009), 1525--1541 (with Y. Ohno and T. Taniguchi). arXiv link
  22. Siegel modular forms of small weight and the Witt operator, Contemp. Math. 493 (2009), 189--209 (with T. Ibukiyama). link
  23. Igusa local zeta functions and integration formulas associated to equivariant maps, Osaka J. Math. 42 (2005), 463--486.
  24. The Igusa local zeta function of the simple prehomogeneous vector space (GL(1)4×SL(2n+1),Λ2+Λ1 +Λ1 +Λ1), J. Math. Soc. Japan 57 (2005), no. 1, 115--126.
  25. 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), 85--104.
  26. 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), no. 2, 121--137.

Proccedings

RIMS Kôkyûroku No.2136


Graduate student's paper


Future Conferences

26th Autumn Workshop on Number Theory, scheduled for 2025.


Past Conferences

25th Autumn Workshop on Number Theory
Date: 28 (Mon.) -- Nov. 1 (Fri.) 2024.
Venue: Room 501, Science Building No.4, Hokkaido University

24th Autumn Workshop on Number Theory
Date: 30 (Mon.) -- Nov. 3 (Fri.) 2023.
Venue: Room 501, Science Building No.4, Hokkaido University

23rd Autumn Workshop on Number Theory
Date: Oct. 31 (Mon.) -- Nov. 4 (Fri.) 2022.
Venue: Kanazawa Chamber of Commerce Hall (from 31st to 3rd), Kanazawa University Satellite Plaza (4th)

RIMS Conference: Automorphic forms, automorphic representations and related topics
Date: Jan. 21 (Mon.) -- Jan. 25 (Fri.) 2019.
Venue: Room 420, RIMS, Kyoto University


Photos



Last modified: November 2, 2024