KATSURADA Hidenori Researcher

Postdoctoral Fellows

Organization
Department of Mathematics
Research Interest
Number Theory, Automorphic Forms
Keywords
Congruence for automorphic forms, Periods of automorphc forms, Special values of L functions, Siegel series

Research Activities

As is well known, there exists a significant congruence relation between the Fourier coefficients of the Ramanujan delta function and the Eisenstein series of weight 12 modulo 691. These two functions serve as prototypical examples of automorphic forms, with the appearance of 691 in the numerator of the Riemann’s zeta function evaluated at 12 further highlighting their connection. This profound link establishes a deep relationship between congruences for automorphic forms and the special values of L-functions. My recent research focuses primarily on exploring this relationship in the context of several automorphic forms, including Siegel modular forms and Hermitian modular forms.

Papers:

  • T. Ikeda and H. Katsurada, An explicit formula for the Siegel series of a quadratic form over a non-archimedean local filed, J. reine. angew, Math. 783 (2022), 1-47.
  • H. Katsurada, H. H. Kim and T. Yamauchi, Period of the Ikeda type lift for the exeptional group of type E(7,3), Math. Z. 302(2022), 559-588
  • H. Atobe, M. Chida, T. Ibukiyama, H. Katsurada and T. Yamauchi, Harder’s conjecture I, to appear in J. Math. Soc. Japan
  • T. Ikeda and H. Katsurada, On the Gross-Keating invariant of a quadratic form over a non-archimedian local field, Amer. J. Math. 140(2018) 1521-1565
  • H. Katsurada, On the period of the Ikeda lift for U(m,m), Math. Z. 286(2017) 141-178
  • H. Katsurada and H. Kawamura, Ikeda’s conjecture on the period of the Duke-Imamoglu-Ikeda lift, Proc. London Math. Soc. 111(2015) 445-483

WebPage

https://researchmap.jp/627526

Contact

hidenori（at）math.sci.hokudai.ac.jp