Hecke eigenvalues of Siegel modular forms (mod p) and of algebraic modular forms

by A. Ghitza

*J. Number Theory* **106**, no. 2 (2004), 345-384.

We show that the systems of Hecke eigenvalues given by Siegel modular forms (mod $p$) are the same as the ones given by algebraic modular forms (mod $p$) on a quaternionic unitary group.