On a generating function of Niebur-Poincaré series

Kathrin Bringmann, Jay Jorgenson, Lejla Smajlović

Let $\Gamma \subset PS{L}_2(\mathbb{R})$ be a Fuchsian group of the first kind which has a cusp $i\infty$ of width one. In this paper, we first consider a generating function formed with t…