Quantcast

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

Research paper by Jennifer Johnson-Leung, Brooks Roberts

Indexed on: 20 May '15Published on: 20 May '15Published in: Mathematics - Number Theory



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.