On sum sets of sets, having small product set

Published 19 Mar 2015 in math.CO and math.NT | (1503.05771v3)

Abstract: We improve a result of Solymosi on sum-products in R, namely, we prove that max{|A+A|,|AA|}\gg |A|^{4/3+c}, where c>0 is an absolute constant. New lower bounds for sums of sets with small product set are found. Previous results are improved effectively for sets A from R with |AA| \le |A|^{4/3}.

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