English

Exponential sums over small subgroups, revisited

Number Theory 2024-01-30 v2 Combinatorics

Abstract

This is an expository account of the proof of the theorem of Bourgain, Glibichuk and Konyagin which provides non-trivial bounds for exponential sums over very small multiplicative subgroups of prime finite fields.

Keywords

Cite

@article{arxiv.2401.04756,
  title  = {Exponential sums over small subgroups, revisited},
  author = {Emmanuel Kowalski},
  journal= {arXiv preprint arXiv:2401.04756},
  year   = {2024}
}

Comments

v2; 22 pages, survey paper; minor corrections and added references, in particular to work of Shkredov

R2 v1 2026-06-28T14:12:39.173Z