Characterizing Hilbert modular cusp forms by coefficient size
Number Theory
2012-05-21 v1
Abstract
Associated to an (adelic) Hilbert modular form is a sequence of `Fourier coefficients' which uniquely determine the form. In this paper we characterize Hilbert modular cusp forms by the size of their Fourier coefficients. This answers in the affirmative a question posed by Winfried Kohnen.
Cite
@article{arxiv.1205.4063,
title = {Characterizing Hilbert modular cusp forms by coefficient size},
author = {Benjamin Linowitz},
journal= {arXiv preprint arXiv:1205.4063},
year = {2012}
}