On multiplicative energy of subsets of varieties
Combinatorics
2021-01-26 v1 Algebraic Geometry
Classical Analysis and ODEs
Number Theory
Abstract
We obtain a non--trivial upper bound for the multiplicative energy of any sufficiently large subset of a subvariety of a finite algebraic group. We also find some applications of our results to growth of conjugates classes, estimates of exponential sums and the restriction phenomenon.
Keywords
Cite
@article{arxiv.2101.09770,
title = {On multiplicative energy of subsets of varieties},
author = {Ilya D. Shkredov},
journal= {arXiv preprint arXiv:2101.09770},
year = {2021}
}
Comments
20 pages