Averages of twisted L-functions
Number Theory
2015-07-01 v2
Abstract
We use a relative trace formula on GL(2) to compute a sum of twisted modular L-functions anywhere in the critical strip, weighted by a Fourier coefficient and a Hecke eigenvalue. When the weight k or level N is sufficiently large, the sum is nonzero. Specializing to the central point, we show in some cases that the resulting bound for the average is as good as that predicted by the Lindelof hypothesis in the k and N aspects.
Cite
@article{arxiv.1204.2253,
title = {Averages of twisted L-functions},
author = {Julia Jackson and Andrew Knightly},
journal= {arXiv preprint arXiv:1204.2253},
year = {2015}
}
Comments
25 pages. More references added