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Arithmetic behaviour of Hecke eigenvalues of Siegel cusp forms of degree two
Published 30 Jan 2019 in math.NT | (1901.10965v1)
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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