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

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Showing 2010Show all

2 papers · 1 filter

math.NT2010

Sums and Products with Smooth Numbers

William D. Banks, David Covert

We estimate the sizes of the sumset A + A and the productset A $\cdot$ A in the special case that A = S (x, y), the set of positive integers n less than or equal to x, free of prim…

math.CO2010

A Furstenberg-Katznelson-Weiss type theorem on (d + 1)-point configurations in sets of positive density in finite field geometries

David Covert, Derrick Hart, Alex Iosevich +2

We show that if $E \subset F_{q}^{d}$ , the $d$ -dimensional vector space over the finite field with $q$ elements, and $∣ E ∣ \geq ρ q^{d}$ , where $q^{- \frac{1}{2}} ≪ ρ \leq 1$ , the…