English

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 NN by a nontrivial quadratic Dirichlet character mod pp for pp a prime not dividing NN. 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}
}

Comments

53 pages

R2 v1 2026-06-22T09:38:12.067Z