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

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 Title: Congruence of Siegel modular forms and special values of their standard zeta functions Authors: Katsurada, Hidenori Browse this author Issue Date: 2005 Journal Title: Hokkaido University Preprint Series in Mathematics Volume: 718 Start Page: 1 End Page: 32 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 $Sp_2(\bf Z)$. Type: bulletin (article) URI: http://hdl.handle.net/2115/69527 Appears in Collections: 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics