Three-term arithmetic progressions and sumsets

Details Three-term arithmetic progressions and sumsets Three-term arithmetic progressions and sumsets

2006-11-10

arxiv.org/abs/math/0611304v2

Proc. Edinb. Math. Soc. (2) 52 (2009), no. 1, 211-233

Mathematics

Number Theory

20 pp. Corrected typos. Updated references. Corrected proof of Theorem 5.1. Minor revisions.

Scientific paper

10.1017/S0013091506001398

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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