Sets avoiding six-term arithmetic progressions in $\mathbb{Z}_6^n$ are exponentially small
Combinatorics
2020-09-28 v1 Number Theory
Abstract
We show that sets avoiding 6-term arithmetic progressions in have size at most . It is also pointed out that the "product construction" does not work in this setting, specially, we show that for the extremal sizes in small dimensions we have , and .
Cite
@article{arxiv.2009.11897,
title = {Sets avoiding six-term arithmetic progressions in $\mathbb{Z}_6^n$ are exponentially small},
author = {Péter Pál Pach and Richárd Palincza},
journal= {arXiv preprint arXiv:2009.11897},
year = {2020}
}