An analog of the Furstenberg-Katznelson-Weiss theorem on triangles in sets of positive density in finite field geometries

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dc.creatorCovert, David
dc.creatorHart, Derrick
dc.creatorIosevich, Alex
dc.creatorUriarte-Tuero, Ignacio
dc.date2008-04-30
dc.date.accessioned2026-07-07T09:36:06Z
dc.date.available2026-07-07T09:36:06Z
dc.descriptionWe prove that if the cardinality of a subset of the 2-dimensional vector space over a finite field with $q$ elements is $\ge ρq^2$, with $\frac{1}{\sqrt{q}}<<ρ\leq 1$, then it contains an isometric copy of $\ge cρq^3$ triangles.
dc.identifierhttps://arxiv.org/abs/0804.4894
dc.identifierhttp://arxiv.org/abs/0804.4894
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/160057
dc.subjectCombinatorics
dc.subjectClassical Analysis and ODEs
dc.titleAn analog of the Furstenberg-Katznelson-Weiss theorem on triangles in sets of positive density in finite field geometries
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