Refined bound for sum-free sets in groups of prime order

preprint2007arXivOpen access

Abstract

Improving upon earlier results of Freiman and the present authors, we show that if pp is a sufficiently large prime and AA is a sum-free subset of the group of order pp, such that n:=∣A∣>0.318pn:=|A|>0.318p, then AA is contained in a dilation of the interval [n,p−n](modp)[n,p-n]\pmod p.

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