Geodesic
Progression-free sets in $\mathbb Z_4^n$ are exponentially small
Ernie Croot1 ; Vsevolod F. Lev2 ; Péter Pál Pach3
1 Georgia Institute of Technology, Atlanta, GA
2 The University of Haifa at Oranim, Tivon, Israel
3 Budapest University of Technology and Economics, Budapest, Hungary
Annals of mathematics, Tome 185 (2017) no. 1, pp. 331-337.

Voir la notice de l'article provenant de la source Annals of Mathematics website

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 $\gamma\approx 0.926$.
DOI : 10.4007/annals.2017.185.1.7

Ernie Croot 1 ; Vsevolod F. Lev 2 ; Péter Pál Pach 3

1 Georgia Institute of Technology, Atlanta, GA
2 The University of Haifa at Oranim, Tivon, Israel
3 Budapest University of Technology and Economics, Budapest, Hungary 
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Ernie Croot; Vsevolod F. Lev; Péter Pál Pach. Progression-free sets in $\mathbb Z_4^n$ are exponentially small. Annals of mathematics, Tome 185 (2017) no. 1, pp. 331-337. doi : 10.4007/annals.2017.185.1.7. http://geodesic.mathdoc.fr/articles/10.4007/annals.2017.185.1.7/

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