On p-adic properties of Siegel modular forms
Number Theory
2013-05-06 v1
Abstract
We show that Siegel modular forms of level \Gamma_0(p^m) are p-adic modular forms. Moreover we show that derivatives of such Siegel modular forms are p-adic. Parts of our results are also valid for vector-valued modular forms. In our approach to p-adic Siegel modular forms we follow Serre closely; his proofs however do not generalize to the Siegel case or need some modifications.
Cite
@article{arxiv.1305.0604,
title = {On p-adic properties of Siegel modular forms},
author = {Siegfried Boecherer and Shoyu Nagaoka},
journal= {arXiv preprint arXiv:1305.0604},
year = {2013}
}