Progression-free sets in Z_4^n are exponentially small

21 May 2016  ·  Croot Ernie, Lev Vsevolod, Pach Peter ·

We show that for integer $n>0$, any subset $A \subset Z_4^n$ free of three-term arithmetic progressions has size $|A| < 4^{c n}$, with an absolute constant $c \approx 0.926$...

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Number Theory Combinatorics