Ramanujan type congruences for the Klingen-Eisenstein series

Toshiyuki Kikuta, Sho Takemori

In the case of Siegel modular forms of degree $n$, we prove that, for almost all prime ideals $\mathfrak{p}$ in any ring of algebraic integers, mod ${\mathfrak{p}}^m$ cusp forms are congruen…