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Three-term arithmetic progressions and sumsets

Tom Sanders
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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-ε} for all ε>0.

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Tom Sanders. 2010-04-01. Three-term arithmetic progressions and sumsets. https://doi.org/10.1017/s0013091506001398

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