Double Character Sums with Intervals and Arbitrary Sets in Finite Fields
Number Theory
2018-03-26 v1 Combinatorics
Abstract
We obtain a new bound on certain double sums of multiplicative characters improving the range of several previous results. This improvement comes from new bounds on the number of collinear triples in finite fields, which is a classical object of study of additive combinatorics.
Keywords
Cite
@article{arxiv.1803.08699,
title = {Double Character Sums with Intervals and Arbitrary Sets in Finite Fields},
author = {Ilya D. Shkredov and Igor E. Shparlinski},
journal= {arXiv preprint arXiv:1803.08699},
year = {2018}
}