Meromorphic modular forms with rational cycle integrals
arXiv:1907.04024 · doi:10.1093/imrn/rnaa104
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.