On the rationality of cycle integrals of meromorphic modular forms

Abstract

We derive finite rational formulas for the traces of cycle integrals of certain meromorphic modular forms. Moreover, we prove the modularity of a completion of the generating function of such traces. The theoretical framework for these results is an extension of the Shintani theta lift to meromorphic modular forms of positive even weight.

References in corpus (5)

• Algebras, BPS States, and Strings
• Automorphic forms with singularities on Grassmannians
• On a completed generating function of locally harmonic Maass forms
• On cycle integrals of weakly holomorphic modular forms
• Regularized Pairings of Meromorphic Modular Forms and Theta Lifts

Cited by in corpus (1)

• Traces of reciprocal singular moduli