# Congruence of Siegel modular forms and special values of their standard zeta functions

Preprint Series # 718
Katsurada, Hidenori Congruence of Siegel modular forms and special values of their standard zeta functions. (2005);

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## Abstract

In this paper, we consider the relation between the special values of the standard zeta functions and the congruence of cuspidal Hecke eigenforms with respect to $Sp_n(\bf Z)$. In particular, we propose a conjecture concerning the congruence of Saito-Kurokawa lift, and prove it under certain condition. Furthermore, we give exact values of the standerd zeta function for cuspidal Hecke eigenforms with respect to $Sp_2(\bf Z)$.

Item Type: Preprint 00-xx GENERAL 951