Ubiquity of simplices in subsets of vector spaces over finite fields

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Ubiquity of simplices in subsets of vector spaces over finite fields

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Title: Ubiquity of simplices in subsets of vector spaces over finite fields
Author: Hart, Derrick, 1980-; Iosevich, Alex, 1967-
Date: 2007-03
Citation: arXiv:math/0703504v2
Abstract: We 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.
URI: http://hdl.handle.net/10355/5476

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  • Mathematics publications (MU) [119]
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