English

On distinguishing Siegel cusp forms of degree two

Number Theory 2026-04-29 v3

Abstract

In this work, we establish several results on distinguishing Siegel cusp forms of degree two. In particular, a Hecke eigenform of level one can be determined by its second Hecke eigenvalue under a certain assumption. Moreover, we can distinguish two Hecke eigenforms of level one by using LL-functions.

Keywords

Cite

@article{arxiv.2207.13234,
  title  = {On distinguishing Siegel cusp forms of degree two},
  author = {Zhining Wei and Shaoyun Yi},
  journal= {arXiv preprint arXiv:2207.13234},
  year   = {2026}
}

Comments

To appear in the International Journal of Number Theory