Differential operators on polar harmonic Maass forms and elliptic duality
Number Theory
2017-04-28 v1
Abstract
In this paper, we study polar harmonic Maass forms of negative integral weight. Using work of Fay, we construct Poincar\'e series which span the space of such forms and show that their elliptic coefficients exhibit duality properties which are similar to the properties known for Fourier coefficients of harmonic Maass forms and weakly holomorphic modular forms.
Cite
@article{arxiv.1704.08649,
title = {Differential operators on polar harmonic Maass forms and elliptic duality},
author = {Kathrin Bringmann and Paul Jenkins and Ben Kane},
journal= {arXiv preprint arXiv:1704.08649},
year = {2017}
}