Abstract
We show that for an integer $n \ge 1$, any subset A $\subseteq \mathbb{Z}_4^n$ free ofthree-term arithmetic progressions has size $|A| \le 4^{\gamma n}$, with anabsolute constant $\gamma\approx 0.926$.
Citation
Ernie Croot. Vsevolod Lev. Péter Pach. "Progression-free sets in $\mathbb{Z}_4^n$ are exponentially small." Ann. of Math. (2) 185 (1) 331 - 337, January 2017. https://doi.org/10.4007/annals.2017.185.1.7
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