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arXiv · 1404.1557

Short Note: Every Large Set of Integers Contains a Three Term Arithmetic Progression

Gabor Korvin
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Abstract

I show that a trivial modification of a standard proof of the Roth's Theorem on triples in arithmetic progression would lead to the following Theorem: If A is a "large set" that is its elements are monotone increasing integers and the sum of reciprocals of its elements diverges then the sequence contains an arithmetic progression of length three.

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Gabor Korvin. 2014-04-06. Short Note: Every Large Set of Integers Contains a Three Term Arithmetic Progression. https://arxiv.org/abs/1404.1557

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