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Solymosi's multiplicative energy bound for complex numbers

2008/12/08 by Tim Jones, Jones, Tim, Misha Rudnev +1 · 1 citation
Mathematics · #11B75 #68R05 #Combinatorics (math.CO) #FOS: Mathematics #math.CO #msc:11B75 #msc:68R05

paper · pdf · doi:10.48550/arxiv.0812.1454

This paper was withdrawn by the authors, after L.Li pointed out that the proof had an error. The claim of the paper in question was given a correct proof in the work "New sum-product type estimates", SIAM J. Discrete. Math. 27 (2013), no.2, 873--990, by Konyagin and Rudnev

arxiv created 2014/07/02 · arxiv updated 2014/07/03

Abstract

We extend the recent Solymosi's sum-product estimate for reals to the complex case.

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