A sum-product estimate in fields of prime order

dc.creatorKonyagin, S. V.
dc.date2003-04-16
dc.date.accessioned2026-07-07T04:56:56Z
dc.date.available2026-07-07T04:56:56Z
dc.descriptionLet q be a prime, A be a subset of a finite field $F=\Bbb Z/q\Bbb Z$, $|A|<\sqrt{|F|}$. We prove the estimate $\max(|A+A|,|A\cdot A|)\ge c|A|^{1+ε}$ for some $ε>0$ and c>0. This extends the result of J. Bourgain, N. Katz, and T. Tao.
dc.identifierhttps://arxiv.org/abs/math/0304217
dc.identifierhttp://arxiv.org/abs/math/0304217
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/67103
dc.subjectNumber Theory
dc.subject11B75,11T30
dc.titleA sum-product estimate in fields of prime order
dc.typetext

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