On a theorem of Shkredov

Details On a theorem of Shkredov On a theorem of Shkredov

2008-07-31

arxiv.org/abs/0807.5100v2

Online J. Anal. Comb. No. 5 (2010), Art. 6, 4 pp

Mathematics

Classical Analysis and ODEs

5 pp. Included refinement from c^{1/2} to c^{1/3}, independently discovered by Shkredov and Yekhanin in arXiv:1004.2294. Corre

Scientific paper

We show that if A is a finite subset of an abelian group with additive energy
at least c|A|^3 then there is a subset L of A with |L|=O(c^{-1}\log |A|) such
that |A \cap Span(L)| >> c^{1/3}|A|.

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