On Roth's theorem on progressions

Details On Roth's theorem on progressions On Roth's theorem on progressions

2010-10-30

arxiv.org/abs/1011.0104v3

Mathematics

Classical Analysis and ODEs

16 pp. Corrected the proof of the Croot-Sisask Lemma. Corrected typos. Updated references

Scientific paper

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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