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

Sanoli Gun, Winfried Kohnen, Biplab Paul

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 t…