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

Congruence of Siegel modular forms and special values of their standard zeta functions In this paper, we consider the relationship between the congruence of cuspidal Hecke eigenforms with respect to Sp n (Z) and the special values of their standard zeta functions. In particular, we propose a conjecture concerning the congruence between Saito-Kurokawa lifts and non-Saito-Kurokawa lifts, and prove it under certain condition. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Mathematische Zeitschrift Springer Journals

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

Mathematische Zeitschrift , Volume 259 (1) – Jun 21, 2007

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References (34)

Publisher
Springer Journals
Copyright
Copyright © 2007 by Springer-Verlag
Subject
Mathematics; Mathematics, general
ISSN
0025-5874
eISSN
1432-1823
DOI
10.1007/s00209-007-0213-5
Publisher site
See Article on Publisher Site

Abstract

In this paper, we consider the relationship between the congruence of cuspidal Hecke eigenforms with respect to Sp n (Z) and the special values of their standard zeta functions. In particular, we propose a conjecture concerning the congruence between Saito-Kurokawa lifts and non-Saito-Kurokawa lifts, and prove it under certain condition.

Journal

Mathematische ZeitschriftSpringer Journals

Published: Jun 21, 2007

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