D. Hart

most citedAn analog of the Furstenberg-Katznelson-Weiss theorem on triangles in sets of positive density in finite field geometries

10 citations · 23 across the 7 of their papers we have counts for

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math.CO2008★ 10 cited

An analog of the Furstenberg-Katznelson-Weiss theorem on triangles in sets of positive density in finite field geometries

David Covert, Derrick Hart, Alex Iosevich +1

We prove that if the cardinality of a subset of the 2-dimensional vector space over a finite field with $q$ elements is $\geq ρ q^{2}$ , with $\frac{1}{q} << ρ \leq 1$ , then it cont…

math.CO2008★ 6 cited

Distance graphs in vector spaces over finite fields, coloring and pseudo-randomness

Derrick Hart, Alex Iosevich, Doowon Koh +2

In this paper we systematically study various properties of the distance graph in $F_{q}^{d}$ , the $d$ -dimensional vector space over the finite field $F_{q}$ with $q$ eleme…

math.CO2008

Generalized incidence theorems, homogeneous forms, and sum-product estimates in finite fields

David Covert, Derrick Hart, Alex Iosevich +2

In recent years, sum-product estimates in Euclidean space and finite fields have been studied using a variety of combinatorial, number theoretic and analytic methods. Erdos type pr…