Garaev's Inequality in finite fields not of prime order

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dc.creatorKatz, Nets Hawk
dc.creatorShen, Chun-Yen
dc.date2007-03-22
dc.date.accessioned2026-07-07T07:53:16Z
dc.date.available2026-07-07T07:53:16Z
dc.descriptionWe prove a version of Garaev's sum product theorem in the set of finite fields with non-prime order. Because of the presence of subfields, this seems to require some hypotheses on the set. We work under a condition analogous to having Hausdorff dimension less than 1/2. Under these conditions, we obtain a sum-product theorem with exponent 49/48.
dc.description8 pages
dc.identifierhttps://arxiv.org/abs/math/0703676
dc.identifierhttp://arxiv.org/abs/math/0703676
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/126190
dc.subjectNumber Theory
dc.subjectClassical Analysis and ODEs
dc.subject11T99 05D99
dc.titleGaraev's Inequality in finite fields not of prime order
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