arXiv Analytics

Sign in

arXiv:1606.03495 [math.NT]AbstractReferencesReviewsResources

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

Sarah Peluse

Published 2016-06-10Version 1

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

Comments: 13 pages
Categories: math.NT, math.CO, math.GR
Subjects: 11L07
Related articles: Most relevant | Search more
arXiv:1703.07066 [math.NT] (Published 2017-03-21)
Bounds On Exponential Sums With Quadrinomials
arXiv:1411.1739 [math.NT] (Published 2014-10-21)
A generalization of Gallagher's lemma for exponential sums
arXiv:math/0501530 [math.NT] (Published 2005-01-29)
On Estimates of Exponential Sums

Links

Toolbox