Regularized Pairings of Meromorphic Modular Forms and Theta Lifts
arXiv:1504.01874 · doi:10.1016/j.jnt.2015.10.016
Abstract
We show that the meromorphic modular forms recently considered by Bringmann and Kane can be obtained as images of regularized theta lifts of Poincaré series under weight raising operators. We use this fact in order to simplify the evaluation of the regularized pairing, also defined by Bringmann and Kane, of these functions with other meromorphic modular forms.
35 pages, exposition improved, previous Sections 5 and 13 omitted
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Cited by in corpus (6)
- A Gross--Kohnen--Zagier Type Theorem for Higher-Codimensional Heegner Cycles
- On the rationality of cycle integrals of meromorphic modular forms
- A problem of Petersson about weight 0 meromorphic modular forms
- Regularized inner products of meromorphic modular forms and higher Green's functions
- Shimura's Vector-Valued Modular Forms, Weight Changing Operators, and Laplacians
- Polar harmonic Maass forms and their applications