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

    Hart, Derrick, 1980-; Iosevich, Alex, 1967- (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 ...