D. Covert

activity

20082018

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

10 citations · 15 across the 13 of their papers we have counts for

collaborators

14 papers

math.CO2018

Cayley Digraphs Associated to Arithmetic Groups

David Covert, Yeşim Demiroğlu Karabulut, Jonathan Pakianathan

We explore a paradigm which ties together seemingly disparate areas in number theory, additive combinatorics, and geometric combinatorics including the classical Waring problem, th…

math.CO2017

The generalized k-resultant modulus set problem in finite fields

David Covert, Doowon Koh, Youngjin Pi

Let $F_{q}^{d}$ be the $d$ -dimensional vector space over the finite field $F_{q}$ with $q$ elements. Given $k$ sets $E_{j} \subset F_{q}^{d}$ for $j = 1, 2, \dots, k$ , the…

math.NT2016

A variant of Waring's Problem for the ring of integers modulo n

David Covert, Alex Iosevich, Jonathan Pakianathan

We study a variant of Waring's problem for $Z_{n}$ , the ring of integers modulo $n$ : For a fixed integer $k \geq 2$ , what is the minimum number $m$ of $k$ th powers necessary…

math.CO2015

Pairs of dot products in finite fields and rings

David Covert, Steven Senger

We obtain bounds on the number of triples that determine a given pair of dot products arising in a vector space over a finite field or a module over the set of integers modulo a po…

math.CO2015★ 1 cited

The $k$ -resultant modulus set problem on algebraic varieties over finite fields

David Covert, Doowon Koh, Youngjin Pi

We study the $k$ -resultant modulus set problem in the $d$ -dimensional vector space $F_{q}^{d}$ over the finite field $F_{q}$ with $q$ elements. Given $E\subset \mathbb F_…

math.CO2014★ 2 cited

Long paths in the distance graph over large subsets of vector spaces over finite fields

M. Bennett, J. Chapman, D. Covert +3

Let $E \subset F_{q}^{d}$ , the $d$ -dimensional vector space over a finite field with $q$ elements. Construct a graph, called the distance graph of $E$ , by letting the vertices b…