Vanishing of Poincar\'e series for congruence subgroups
Number Theory
2024-06-18 v1
Abstract
We consider the problem of the vanishing of Poincar\'e series for congruence subgroups. Denoting by the Poincar\'e series of weight and index for the group , we show that for certain choices of parameters , the Poincar\'e series does not vanish. Our methods improve on previous results of Rankin (1980) and Mozzochi (1989).
Cite
@article{arxiv.2406.11302,
title = {Vanishing of Poincar\'e series for congruence subgroups},
author = {Noam Kimmel},
journal= {arXiv preprint arXiv:2406.11302},
year = {2024}
}