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arxiv: 1011.0104 · v3 · pith:FP5T7L2Gnew · submitted 2010-10-30 · 🧮 math.CA · math.NT

On Roth's theorem on progressions

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keywords progressionsapproacharithmeticarxivcontainsdifferentnon-trivialroth
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We show that if A is a subset of {1,...,N} contains no non-trivial three-term arithmetic progressions then |A|=O(N/ log^{1-o(1)} N). The approach is somewhat different from that used in arXiv:1007.5444.

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