Lower bounds for moments of L-functions
Number Theory
2009-11-11 v1
Abstract
The moments of central values of families of L-functions have recently attracted much attention and, with the work of Keating and Snaith, there are now precise conjectures for their limiting values. We develop a simple method to establish lower bounds of the conjectured order of magnitude for several such families of L-functions. As an example we work out the case of the family of all Dirichlet L-functions to a prime modulus.
Cite
@article{arxiv.math/0502042,
title = {Lower bounds for moments of L-functions},
author = {Z. Rudnick and K. Soundararajan},
journal= {arXiv preprint arXiv:math/0502042},
year = {2009}
}