The mean-square of Dirichlet L-functions
Number Theory
2007-08-21 v1
Abstract
We verify the conjecture of [CFKRS] for the mean square near the critical point of Dirichlet L-functions for a composite modulus q. We also prove a kind of reciprocity formula when the second moment for a prime modulus is twisted by a character evaluated at a different prime.
Keywords
Cite
@article{arxiv.0708.2699,
title = {The mean-square of Dirichlet L-functions},
author = {J. Brian Conrey},
journal= {arXiv preprint arXiv:0708.2699},
year = {2007}
}