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Large sum-free sets in ℤ/ p

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Abstract

We show that ifp is prime andA is a sum-free subset of ℤ/ p ℤ withn:=|A|>0.33p, thenA is contained in a dilation of the interval [n,p−n] (modp).

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Lev, V.F. Large sum-free sets in ℤ/ p ℤ. Isr. J. Math. 154, 221–233 (2006). https://doi.org/10.1007/BF02773607

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