On the rationality of a paramodular Siegel Eisenstein series

Fuente: arXiv
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Main Author: Pierce, Erin
Format: Preprint
Published: 2025
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_version_ 1866918172440920064
author Pierce, Erin
author_facet Pierce, Erin
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2510_22762
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle On the rationality of a paramodular Siegel Eisenstein series
Pierce, Erin
Number Theory
11F46, 11F30, 11F70
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.
title On the rationality of a paramodular Siegel Eisenstein series
topic Number Theory
11F46, 11F30, 11F70
url https://arxiv.org/abs/2510.22762