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

Sanoli Gun; Winfried Kohnen; Biplab Paul

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arXiv · 1901.10965

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

Sanoli Gun·Winfried Kohnen·Biplab Paul

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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.

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Sanoli Gun, Winfried Kohnen, Biplab Paul. 2019-01-30. Arithmetic behaviour of Hecke eigenvalues of Siegel cusp forms of degree two. https://arxiv.org/abs/1901.10965

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