Sum-product estimates in finite fields

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dc.creatorHart, D.
dc.creatorIosevich, A.
dc.creatorSolymosi, J.
dc.date2006-09-14
dc.date2006-10-15
dc.date.accessioned2026-07-07T07:24:51Z
dc.date.available2026-07-07T07:24:51Z
dc.descriptionWe prove, using combinatorics and Kloosterman sum technology that if $A \subset {\Bbb F}_q$, a finite field with $q$ elements, and $q^{1/2} \lesssim |A| \lesssim q^{7/10}$, then $\max \{|A+A|, |A \cdot A|\} \gtrsim \frac{{|A|}^{3/2}}{q^{1/4}$.
dc.identifierhttps://arxiv.org/abs/math/0609426
dc.identifierhttp://arxiv.org/abs/math/0609426
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/116525
dc.subjectCombinatorics
dc.subjectClassical Analysis and ODEs
dc.subject52C, 11L, 11C
dc.titleSum-product estimates in finite fields
dc.typetext

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