On sum sets of sets, having small product set
Abstract
We improve a result of Solymosi on sum-products in R, namely, we prove that max|A+A|,|AA| |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| |A|4/3.
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