On multiplicative energy of subsets of varieties

Ilya D. Shkredov

Type: Article

Publication Date: 2022-01-13

Citations: 1

DOI: https://doi.org/10.4153/s0008414x21000687

Abstract

Abstract We obtain a nontrivial 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 the growth of conjugates classes, estimates of exponential sums, and restriction phenomenon.

Locations

Canadian Journal of Mathematics - View
arXiv (Cornell University) - View - PDF

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