Arithmetic behaviour of Hecke eigenvalues of Siegel cusp forms of degree two

Sanoli Gun; Winfried Kohnen; Biplab Paul

Arithmetic behaviour of Hecke eigenvalues of Siegel cusp forms of degree two

Number Theory 2019-01-31 v1

Authors: Sanoli Gun , Winfried Kohnen , Biplab Paul

Abstract

Let $F$ and $G$ be Siegel cusp forms for $\Sp_4(\Z)$ and weights $k_1, k_2$ respectively. Also let $F$ and $G$ be Hecke eigenforms lying in distinct eigen spaces. Further suppose that neither $F$ nor $G$ is a Saito-Kurokawa lift. In this article, we study simultaneous arithmetic behaviour of Hecke eigenvalues of these Hecke eigenforms.

Keywords

siegel cusp forms hecke eigenforms hecke eigenvalues arithmetic behaviour saito-kurokawa lift sp4(z)

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@article{arxiv.1901.10965,
  title  = {Arithmetic behaviour of Hecke eigenvalues of Siegel cusp forms of degree two},
  author = {Sanoli Gun and Winfried Kohnen and Biplab Paul},
  journal= {arXiv preprint arXiv:1901.10965},
  year   = {2019}
}

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18 pages

Arithmetic behaviour of Hecke eigenvalues of Siegel cusp forms of degree two

Abstract

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