On cycle integrals of weakly holomorphic modular forms
Number Theory
2019-02-20 v1
Abstract
In this paper, we investigate cycle integrals of weakly holomorphic modular forms. We show that these integrals coincide with the cycle integrals of classical cusp forms. We use these results to define a Shintani lift from integral weight weakly holomorphic modular forms to half-integral weight holomorphic modular forms.
Keywords
Cite
@article{arxiv.1404.6837,
title = {On cycle integrals of weakly holomorphic modular forms},
author = {Kathrin Bringmann and Pavel Guerzhoy and Ben Kane},
journal= {arXiv preprint arXiv:1404.6837},
year = {2019}
}