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Three-term arithmetic progressions and sumsets

Authors
  • Sanders, Tom
Type
Published Article
Publication Date
Apr 01, 2010
Submission Date
Nov 10, 2006
Identifiers
DOI: 10.1017/S0013091506001398
arXiv ID: math/0611304
Source
arXiv
License
Yellow
External links

Abstract

Suppose that G is an abelian group and A is a finite subset of G containing no three-term arithmetic progressions. We show that |A+A| >> |A|(log |A|)^{1/3-\epsilon} for all \epsilon>0.

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