arXiv:0806.1040 [math.CO]AbstractReferencesReviewsResources
An upper bound on the multiplicative energy
Published 2008-06-05, updated 2008-06-23Version 3
We prove that the sumset or the productset of any finite set of real numbers, $A,$ is at least $|A|^{4/3-\epsilon},$ improving earlier bounds. Our main tool is a new upper bound on the multiplicative energy, $E(A,A).$
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