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Meromorphic modular forms with rational cycle integrals

Published 9 Jul 2019 in math.NT | (1907.04024v1)

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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