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On p-divisibility of Fourier coefficients of Siegel modular forms

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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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  1. Department of mathematics, Yamato University, Katayama-cho 2-5-1, Suita, Osaka, 564-0082, Japan

    Shoyu Nagaoka

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  1. Shoyu Nagaoka
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Correspondence to Shoyu Nagaoka.

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The author is supported by JSPS KAKENHI Grant Number 20K03547.

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Nagaoka, S. On p-divisibility of Fourier coefficients of Siegel modular forms. Ramanujan J 62, 1107–1123 (2023). https://doi.org/10.1007/s11139-023-00743-z

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  • DOI: https://doi.org/10.1007/s11139-023-00743-z

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