On certain other sets of integers

Details On certain other sets of integers On certain other sets of integers

2010-07-30

arxiv.org/abs/1007.5444v2

Mathematics

Number Theory

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

Scientific paper

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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