English

A remark on $p$-adic Siegel Eisenstein series

Number Theory 2022-05-10 v2

Abstract

A generalization of Serre's pp-adic Eisenstein series in the case of Siegel modular forms is studied and a coincidence between a pp-adic Siegel Eisenstein series and a genus theta series associated with a quaternary quadratic form is proved.

Keywords

Cite

@article{arxiv.2204.01261,
  title  = {A remark on $p$-adic Siegel Eisenstein series},
  author = {Hidenori Katsurada and Shoyu Nagaoka},
  journal= {arXiv preprint arXiv:2204.01261},
  year   = {2022}
}