On Fourier coefficients of Siegel modular forms of degree two with respect to congruence subgroups

Masataka Chida, Hidenori Katsurada, Kohji Matsumoto

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)

Abstract

We prove a formula of Petersson's type for Fourier coefficients of Siegel cusp forms of degree 2 with respect to congruence subgroups, and as a corollary, show upper bound estimates of individual Fourier coefficients. The method in this paper is essentially a generalization of Kitaoka's previous work which studied the full modular case, but some modification is necessary to obtain estimates which are sharp with respect to the level aspect.

Original languageEnglish
Pages (from-to)31-47
Number of pages17
JournalAbhandlungen aus dem Mathematischen Seminar der Universitat Hamburg
Volume84
Issue number1
DOIs
Publication statusPublished - 2014 Apr

Keywords

  • Fourier coefficients
  • Petersson formula
  • Siegel modular form

ASJC Scopus subject areas

  • Mathematics(all)

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