Fourier coefficients for twists of Siegel paramodular forms (expanded version)
Number Theory
2015-05-21 v1
Abstract
In this paper, we calculate the Fourier coefficients of the paramodular twist of a Siegel modular form of paramodular level by a nontrivial quadratic Dirichlet character mod for a prime not dividing . 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.
Keywords
Cite
@article{arxiv.1505.05463,
title = {Fourier coefficients for twists of Siegel paramodular forms (expanded version)},
author = {Jennifer Johnson-Leung and Brooks Roberts},
journal= {arXiv preprint arXiv:1505.05463},
year = {2015}
}
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53 pages