Progression-free sets in $\mathbb{Z}_4^n$ are exponentially small

Ernie Croot, Vsevolod Lev, Péter Pach

Source record

Source: Crossref

Published: Jan 1, 2017

DOI: 10.4007/annals.2017.185.1.7

Open original source ↗

Source abstract

We show that for an integer $n \ge 1$ , any subset A $\subseteq \mathbb{Z}_4^n$ free of three-term arithmetic progressions has size $|A| \le 4^{\gamma n}$ , with an absolute constant $\gamma\approx 0.926$ .

Evidence graph

No public relationships recorded yet.

Integrity note: This page is a factual metadata record created by deterministic ingestion. It is not a claim that the work moves a mathematical frontier or has been independently verified.

Progression-free sets in $\mathbb{Z}_4^n$ are exponentially small — Mathematical Frontier Network