Fourier coefficients for twists of Siegel paramodular forms (expanded version)

preprint2015arXivOpen access

Abstract

In this paper, we calculate the Fourier coefficients of the paramodular twist of a Siegel modular form of paramodular level NN by a nontrivial quadratic Dirichlet character mod pp for pp a prime not dividing NN. 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.

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