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

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

2007-05-31

arxiv.org/abs/0705.4536v1

Mathematics

Number Theory

Scientific paper

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

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