Character sums over elements of extensions of finite fields with restricted coordinates
Number Theory
2023-10-24 v2
Abstract
We obtain nontrivial bounds for character sums with multiplicative and additive characters over finite fields over elements with restricted coordinate expansion. In particular, we obtain a nontrivial estimate for such a sum over a finite field analogue of the Cantor set.
Keywords
Cite
@article{arxiv.2309.02948,
title = {Character sums over elements of extensions of finite fields with restricted coordinates},
author = {Siddharth Iyer and Igor Shparlinski},
journal= {arXiv preprint arXiv:2309.02948},
year = {2023}
}