Browsing University of Missouri-Columbia by Title "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
(2007)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 ...