Arithmetic progressions in sets with small sumsets

Jozsef Solymosi

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Arithmetic progressions in sets with small sumsets

Jozsef Solymosi

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Abstract

We present an elementary proof that if $A$ is a finite set of numbers, and the sumset $A+_GA$ is small, $|A+_GA|\leq c|A|$, along a dense graph $G$, then $A$ contains $k$-term arithmetic progressions.

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BibTeX RIS

Jozsef Solymosi. 2005-03-28. Arithmetic progressions in sets with small sumsets. https://arxiv.org/abs/math/0503649

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