Fourier coefficients for twists of Siegel paramodular forms (expanded version)
classification
🧮 math.NT
keywords
paramodularcoefficientsformsfouriersiegeltwisttwistsapplication
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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.
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