Arithmetic Combinatorics on Vinogradov systems
Combinatorics
2020-01-24 v1 Number Theory
Abstract
In this paper, we present a variant of the Balog-Szemer\'edi-Gowers theorem for the Vinogradov system. We then use our result to deduce a higher degree analogue of the sum-product phenomenon.
Cite
@article{arxiv.2001.08312,
title = {Arithmetic Combinatorics on Vinogradov systems},
author = {Akshat Mudgal},
journal= {arXiv preprint arXiv:2001.08312},
year = {2020}
}
Comments
To appear in Transactions of the American Mathematical Society. 31 pages