English

On the rationality of a paramodular Siegel Eisenstein series

Number Theory 2025-10-28 v1

Abstract

We consider the rationality of the Fourier coefficients of a particular paramodular Siegel Eisenstein series of level N2N^2 with weight k4k\geq 4. We show that the coefficients lie in a number field.

Keywords

Cite

@article{arxiv.2510.22762,
  title  = {On the rationality of a paramodular Siegel Eisenstein series},
  author = {Erin Pierce},
  journal= {arXiv preprint arXiv:2510.22762},
  year   = {2025}
}