Fourier Coefficients for Twists of Siegel Paramodular Forms

Abstract

In this paper, we calculate the Fourier coefficients of the paramodular twist of a Siegel modular form of paramodular level N by a nontrivial quadratic Dirichlet character mod p for p a prime not dividing N. As an application, these formulas can be used to verify the nonvanishing of the twist for particular examples. We also deduce that the twists of Maass forms are identically zero.