Journal of the Ramanujan Mathematical Society
Volume 32, Issue 2, June 2017 pp. 101–119.
Fourier coefficients for twists of Siegel paramodular forms
Authors:
Jennifer Johnson-Leung and Brooks Roberts
Author institution:Department of Mathematics, University of Idaho, Moscow, ID 83844, USA
Summary:
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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