12 citations · 57 across the 19 of their papers we have counts for
4 papers · 1 filter
On sums and products in C[x]
Ernie Croot, Derrick Hart
We show that under the assumption of a 24-term version of Fermat's Last Theorem, there exists an absolute constant c > 0 such that if S is a set of n > n_0 positive integers satisf…
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 elements is , with , then it cont…
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 , the -dimensional vector space over the finite field with eleme…
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…