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arXiv · 1305.0604

On p-adic properties of Siegel modular forms

Siegfried Boecherer·Shoyu Nagaoka
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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.

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Siegfried Boecherer, Shoyu Nagaoka. 2013-05-03. On p-adic properties of Siegel modular forms. https://arxiv.org/abs/1305.0604

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