On sum-free sets modulo p

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Abstract

Let p be a su-ciently large prime and A be a sum-free subset of Z=pZ; improving on a previous result of V. F. Lev, we show that if A = card(A) > 0:324p, then A is contained in a dilation of the interval [A; p A] (mod. p).

Original languageEnglish
Pages (from-to)51-59
Number of pages9
JournalFunctiones et Approximatio, Commentarii Mathematici
Volume35
DOIs
StatePublished - 2006

Keywords

  • Additive combinatorics
  • Sumfree sets

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