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On Sumsets of Convex Sets

  • TOMASZ SCHOEN (a1) and ILYA D. SHKREDOV (a2)
Abstract

A set of reals A = {a1,. . .,an} is called convex if ai+1ai > aiai−1 for all i. We prove, among other results, that for some c > 0 every convex A satisfies |AA| ≥ c|A|8/5log−2/5|A|.

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Combinatorics, Probability and Computing
  • ISSN: 0963-5483
  • EISSN: 1469-2163
  • URL: /core/journals/combinatorics-probability-and-computing
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