On cycle integrals of weakly holomorphic modular forms

Abstract

In this paper, we investigate cycle integrals of weakly holomorphic modular forms. We show that these integrals coincide with the cycle integrals of classical cusp forms. We use these results to define a Shintani lift from integral weight weakly holomorphic modular forms to half-integral weight holomorphic modular forms.

Cited by in corpus (5)

• Meromorphic modular forms with rational cycle integrals
• On the rationality of cycle integrals of meromorphic modular forms
• Identities of Cycle Integrals of Weak Maass Forms
• Locally harmonic Maaß forms of positive even weight
• A modular framework for generalized Hurwitz class numbers III