On the rationality of a paramodular Siegel Eisenstein series

Erin Pierce

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arXiv · 2510.22762

On the rationality of a paramodular Siegel Eisenstein series

Erin Pierce

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Abstract

We consider the rationality of the Fourier coefficients of a particular paramodular Siegel Eisenstein series of level $N^2$ with weight $k\geq 4$. We show that the coefficients lie in a number field.

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Erin Pierce. 2025-10-26. On the rationality of a paramodular Siegel Eisenstein series. https://arxiv.org/abs/2510.22762

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