An upper bound on the multiplicative energy

Details An upper bound on the multiplicative energy An upper bound on the multiplicative energy

2008-06-05

arxiv.org/abs/0806.1040v3

Mathematics

Combinatorics

Scientific paper

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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