Weil Sums over Small Subgroups
Number Theory
2022-11-16 v1
Abstract
We obtain new bounds on short Weil sums over small multiplicative subgroups of prime finite fields which remain nontrivial in the range the classical Weil bound is already trivial. The method we use is a blend of techniques coming from algebraic geometry and additive combinatorics.
Cite
@article{arxiv.2211.07739,
title = {Weil Sums over Small Subgroups},
author = {Alina Ostafe and Igor E. Shparlinski and José Felipe Voloch},
journal= {arXiv preprint arXiv:2211.07739},
year = {2022}
}