Meromorphic modular forms with rational cycle integrals
Number Theory
2020-10-14 v1
Abstract
We study rationality properties of geodesic cycle integrals of meromorphic modular forms associated to positive definite binary quadratic forms. In particular, we obtain finite rational formulas for the cycle integrals of suitable linear combinations of these meromorphic modular forms.
Keywords
Cite
@article{arxiv.1907.04024,
title = {Meromorphic modular forms with rational cycle integrals},
author = {Steffen Löbrich and Markus Schwagenscheidt},
journal= {arXiv preprint arXiv:1907.04024},
year = {2020}
}