Non-vanishing of Hilbert Poincar\'e series
Number Theory
2018-06-26 v1
Abstract
We prove some non-vanishing results of Hilbert Poincar\'e series. We derive these results, by showing that the Fourier coefficients of Hilbert Poincar\'e series satisfy some nice orthogonality relations for sufficiently large weight as well as for sufficiently large level. To prove later results, we generalize a method of E. Kowalski et. al.
Keywords
Cite
@article{arxiv.1806.08902,
title = {Non-vanishing of Hilbert Poincar\'e series},
author = {Moni Kumari},
journal= {arXiv preprint arXiv:1806.08902},
year = {2018}
}
Comments
To appear in J. Math. Anal. Appl