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On certain other sets of integers

arXiv:1007.5444 · doi:10.1007/s11854-012-0003-9

Abstract

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).

29 pp. Corrected typos. Added definitions for some non-standard notation and remarks on lower bounds