Journal of the Ramanujan Mathematical Society

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Fourier Coefficients for Twists of Siegel Paramodular Forms


Affiliations
1 Department of Mathematics, University of Idaho, Moscow, ID 83844, United States
     

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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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  • Fourier Coefficients for Twists of Siegel Paramodular Forms

Abstract Views: 272  |  PDF Views: 1

Authors

Johnson-Leung Jennifer
Department of Mathematics, University of Idaho, Moscow, ID 83844, United States
Brooks Roberts
Department of Mathematics, University of Idaho, Moscow, ID 83844, United States

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.