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On Roth's theorem on progressions (1011.0104v3)
Published 30 Oct 2010 in math.CA and math.NT
Abstract: 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.