Parabolic, hyperbolic and elliptic Poincar\'e series
Number Theory
2008-06-30 v1
Abstract
Following Petersson, we study the parabolic, hyperbolic and elliptic expansions of holomorphic cusp forms and the associated Poincar\'e series. We show how these ideas extend to the space of second-order cusp forms.
Keywords
Cite
@article{arxiv.0806.4398,
title = {Parabolic, hyperbolic and elliptic Poincar\'e series},
author = {Özlem Imamoglu and Cormac O'Sullivan},
journal= {arXiv preprint arXiv:0806.4398},
year = {2008}
}
Comments
28 pages