Short character sums for composite moduli
Number Theory
2014-05-09 v2
Abstract
We establish new estimates on short character sums for arbitrary composite moduli with small prime factors. Our main result improves on the Graham-Ringrose bound for square free moduli and also on the result due to Gallagher and Iwaniec when the core of the modulus satisfies . Some applications to zero free regions of Dirichlet L-functions and the and Vinogradov inequalities are indicated.
Cite
@article{arxiv.1201.0299,
title = {Short character sums for composite moduli},
author = {Mei-Chu Chang},
journal= {arXiv preprint arXiv:1201.0299},
year = {2014}
}