Lower bounds for small fractional moments of Dirichlet $L$-functions
Number Theory
2012-01-30 v1
Abstract
We prove a lower bound of the correct order of magnitude in the conductor aspect for small rational moments of Drichlet -functions. Such bounds require new techniques, which is visible from the relationship to non-vanishing results for .
Keywords
Cite
@article{arxiv.1201.5682,
title = {Lower bounds for small fractional moments of Dirichlet $L$-functions},
author = {Vorrapan Chandee and Xiannan Li},
journal= {arXiv preprint arXiv:1201.5682},
year = {2012}
}