Article
A Furstenberg–Katznelson–Weiss Type Theorem on (d + 1)-Point Configurations in Sets of Positive Density in Finite Field Geometries
Discrete Mathematics
(2011)
Abstract
We show that if E ⊂ F d q , the d-dimensional vector space over the finite field with q elements, and |E| ≥ ρq d , where q − 1 2 ≪ ρ ≤ 1, then E contains an isometric copy of at least cρ d−1 q d+1 2 distinct (d + 1)-point configurations.
Disciplines
Publication Date
March 28, 2011
DOI
10.1016/j.disc.2010.10.009
Citation Information
David Covert, Derrick Hart, Alex Iosevichc, Steven Senger, et al.. "A Furstenberg–Katznelson–Weiss Type Theorem on (d + 1)-Point Configurations in Sets of Positive Density in Finite Field Geometries" Discrete Mathematics Vol. 311 Iss. 6 (2011) p. 423 - 430 Available at: http://works.bepress.com/david-covert/2/