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• #### Ubiquity of simplices in subsets of vector spaces over finite fields ﻿

(2007-03)
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 ...