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arxiv: 1007.5444 · v2 · pith:I5QOQDTVnew · submitted 2010-07-30 · 🧮 math.NT · math.CA

On certain other sets of integers

classification 🧮 math.NT math.CA
keywords arithmeticcertaincontainingintegersnon-trivialotherprogressionssets
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We show that if A is a subset of {1,...,N} containing no non-trivial three-term arithmetic progressions then |A|=O(N/ log^{3/4-o(1)} N).

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