On $p$-divisibility of Fourier coefficients of Siegel modular forms

Shoyu Nagaoka

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arXiv · 2212.00917

On $p$-divisibility of Fourier coefficients of Siegel modular forms

Shoyu Nagaoka

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Abstract

We describe the $p$-divisibility transposition for the Fourier coefficients of Siegel modular forms. This provides a supplement to the result by Wilton for $p$-divisibility satisfied by the Ramanujan $\tau$-function.

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Shoyu Nagaoka. 2022-12-02. On $p$-divisibility of Fourier coefficients of Siegel modular forms. https://arxiv.org/abs/2212.00917

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