Ubiquity of simplices in subsets of vector spaces over finite fields

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dc.creatorHart, Derrick
dc.creatorIosevich, Alex
dc.date2007-03-16
dc.date2007-10-11
dc.date.accessioned2026-07-07T08:35:36Z
dc.date.available2026-07-07T08:35:36Z
dc.descriptionWe prove that a sufficiently large subset of the $d$-dimensional vector space over a finite field with $q$ elements, $ {\Bbb F}_q^d$, contains a copy of every $k$-simplex. Fourier analytic methods, Kloosterman sums, and bootstrapping play an important role.
dc.description10 pages
dc.identifierhttps://arxiv.org/abs/math/0703504
dc.identifierhttp://arxiv.org/abs/math/0703504
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/139800
dc.subjectClassical Analysis and ODEs
dc.subjectCombinatorics
dc.titleUbiquity of simplices in subsets of vector spaces over finite fields
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