An upper bound on the multiplicative energy

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We prove that the sumset or the productset of any finite set of real numbers, $A,$ is at least $|A|^{4/3-ε},$ improving earlier bounds. Our main tool is a new upper bound on the multiplicative energy, $E(A,A).$

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Combinatorics, 68R05; 11B75

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http://salesiana.dossiersoluciones.com/handle/123456789/163318

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0806.1040
 http://arxiv.org/abs/0806.1040

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arXiv