Abstract

In this paper we explicitly construct vector valued Siegel modular forms of degree two and the automorphic factor detk| for even k where St denotes the standard representation of GL(2,C). As an application, we prove some congruences between eigenvalues of Hecke operators. For a positive integer n, let F, be the full Siegel modular group of degree n and H, the Siegel upper half plane of degree n. For M ~ F, and Z ~ H,, we put

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