On the Bogolyubov-Ruzsa lemma

Details On the Bogolyubov-Ruzsa lemma On the Bogolyubov-Ruzsa lemma

2010-10-30

arxiv.org/abs/1011.0107v1

Mathematics

Classical Analysis and ODEs

23 pp

Scientific paper

Our main result is that if A is a finite subset of an abelian group with
|A+A| < K|A|, then 2A-2A contains an O( log^{O(1)} K)-dimensional coset
progression M of size at least exp(-O( log^{O(1)} K))|A|.

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