Divisibility properties for weakly holomorphic modular forms with sign vectors
Number Theory
2016-10-31 v1
Abstract
In this paper, we prove some divisibility results for the Fourier coefficients of reduced modular forms of sign vectors. More precisely, we generalize a divisibility result of Siegel on constant terms when the weight is non-positive, which is related to the weight of Borcherds lifts when the weight is zero. By considering Hecke operators for the spaces of weakly holomorphic modular forms with sign vectors, and obtain divisibility results in an "orthogonal" direction on reduced modular forms.
Cite
@article{arxiv.1503.01134,
title = {Divisibility properties for weakly holomorphic modular forms with sign vectors},
author = {Yichao Zhang},
journal= {arXiv preprint arXiv:1503.01134},
year = {2016}
}
Comments
16 pages