The Uniformity Conjecture in Additive Combinatorics
Combinatorics
2020-05-26 v1 Number Theory
Abstract
In this paper we show examples for applications of the Bombieri-Lang conjecture in additive combinatorics, giving bounds on the cardinality of sumsets of squares and higher powers of integers. Using similar methods we give bounds on the sum-product problem for matchings.
Cite
@article{arxiv.2005.11559,
title = {The Uniformity Conjecture in Additive Combinatorics},
author = {Ilya D. Shkredov and Jozsef Solymosi},
journal= {arXiv preprint arXiv:2005.11559},
year = {2020}
}
Comments
14 pages