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Hokkaido University Preprint Series in Mathematics >
Congruence of Siegel modular forms and special values of their standard zeta functions
| Title: | Congruence of Siegel modular forms and special values of their standard zeta functions |
| Authors: | Katsurada, Hidenori Browse this author |
| Issue Date: | 2005 |
| Publisher: | Department of Mathematics, Hokkaido University |
| 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
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Submitter: 数学紀要登録作業用
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