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Annals of Mathematics· 2016Q1

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

Ernie Croot, Vsevolod F. Lev, Péter Pál Pach

Short summary

Any subset of $\mathbb{Z}_4^n$ free of three-term arithmetic progressions has size at most $4^{\gamma n}$, with $\gamma \approx 0.926$.

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Field: Discrete Mathematics and Combinatorics

Discrete Mathematics and CombinatoricsMathematics