%0 Journal Article
%T Ubiquity of simplices in subsets of vector spaces over finite fields
%A Derrick Hart
%A Alex Iosevich
%J Mathematics
%D 2007
%I arXiv
%X 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.
%U http://arxiv.org/abs/math/0703504v2