Additive properties of product sets in an arbitrary finite field

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dc.creatorGlibichuk, Alexey
dc.date2008-01-14
dc.date.accessioned2026-07-07T08:54:17Z
dc.date.available2026-07-07T08:54:17Z
dc.descriptionIt is proved that for any two subsets $A$ and $B$ of an arbitrary finite field $\Fq$ such that $|A||B|>q$ the identity $16AB=\Fq$ holds. Moreover, it is established that for every subsets $X, Y\subset \Fq$ with the property $|X||Y|\geqslant 2q$ the equality $8XY=\Fq$ holds.
dc.description11 pages
dc.identifierhttps://arxiv.org/abs/0801.2021
dc.identifierhttp://arxiv.org/abs/0801.2021
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/145876
dc.subjectNumber Theory
dc.subjectCombinatorics
dc.subject11P05; 11T30
dc.titleAdditive properties of product sets in an arbitrary finite field
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