English

On exponential sums over orbits in $\mathbb{F}_p^d$

Number Theory 2016-08-24 v2 Combinatorics Group Theory

Abstract

This paper proves a bound for exponential sums over orbits of vectors in Fpd\mathbb{F}_p^d under subgroups of GLd(Fp)\rm{GL}_d(\mathbb{F}_p). The main tool is a classification theorem for approximate groups due to Gill, Helfgott, Pyber, and Szab\'o.

Keywords

Cite

@article{arxiv.1606.03495,
  title  = {On exponential sums over orbits in $\mathbb{F}_p^d$},
  author = {Sarah Peluse},
  journal= {arXiv preprint arXiv:1606.03495},
  year   = {2016}
}

Comments

14 pages; v2: fixed typos, made small exposition changes

R2 v1 2026-06-22T14:22:55.560Z