The second moment of quadratic twists of modular $L$-functions
Number Theory
2013-03-27 v1
Abstract
We study the second moment of the central values of quadratic twists of a modular -function. Unconditionally, we obtain a lower bound which matches the conjectured asymptotic formula, while on GRH we prove the asymptotic formula itself.
Keywords
Cite
@article{arxiv.0907.4747,
title = {The second moment of quadratic twists of modular $L$-functions},
author = {Matthew P. Young and K. Soundararajan},
journal= {arXiv preprint arXiv:0907.4747},
year = {2013}
}
Comments
17 pages