Character sums with Beatty sequences on Burgess-type intervals
Number Theory
2007-05-23 v1
Abstract
We estimate multiplicative character sums taken on the values of a non-homogeneous Beatty sequence , where , and is irrational. Our bounds are nontrivial over the same short intervals for which the classical character sum estimates of Burgess have been established.
Cite
@article{arxiv.math/0608042,
title = {Character sums with Beatty sequences on Burgess-type intervals},
author = {William D. Banks and Igor E. Shparlinski},
journal= {arXiv preprint arXiv:math/0608042},
year = {2007}
}