Siegel Eisenstein Series with Paramodular Level
Number Theory
2025-10-01 v2
Abstract
Starting with a primitive Dirichlet character of conductor , we construct a paramodular Siegel Eisenstein series of level and weight . We calculate the Fourier expansion of the holomorphic Siegel modular form thus constructed. The function is a paramodular newform, and its adelization generates an irreducible automorphic representation.
Cite
@article{arxiv.2509.04395,
title = {Siegel Eisenstein Series with Paramodular Level},
author = {Erin Pierce and Ralf Schmidt},
journal= {arXiv preprint arXiv:2509.04395},
year = {2025}
}