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arXiv · 1907.04024

Meromorphic modular forms with rational cycle integrals

Steffen Löbrich·Markus Schwagenscheidt
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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.

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Steffen Löbrich, Markus Schwagenscheidt. 2019-07-09. Meromorphic modular forms with rational cycle integrals. https://doi.org/10.1093/imrn%2Frnaa104

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