Cycle integrals of meromorphic modular forms and coefficients of harmonic Maass forms

2020/06/05 by Alfes-Neumann, Claudia, Bringmann, Kathrin, Males, Joshua +1
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2006.03660

Abstract

In this paper, we investigate traces of cycle integrals of certain meromorphic modular forms. By relating them to regularised theta lifts we provide explicit formulae for them in terms of coefficients of harmonic Maass forms.

Related

• Cycle integrals of meromorphic Hilbert modular forms
• Cycle integrals of meromorphic modular forms and Siegel theta functions
• Laurent expansions of meromorphic modular forms
• Harmonic weak Maass forms and periods II
• Regularized theta liftings and periods of modular functions