Title of article
A Furstenberg–Katznelson–Weiss type theorem on -point configurations in sets of positive density in finite field geometries
Author/Authors
Covert، نويسنده , , David and Hart، نويسنده , , Derrick and Iosevich، نويسنده , , Alex and Senger، نويسنده , , Steven and Uriarte-Tuero، نويسنده , , Ignacio، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2011
Pages
8
From page
423
To page
430
Abstract
We show that if E ⊂ F q d , the d -dimensional vector space over the finite field with q elements, and | E | ≥ ρ q d , where q − 1 2 ≪ ρ ≤ 1 , then E contains an isometric copy of at least c ρ d − 1 q d + 1 2 distinct ( d + 1 ) -point configurations.
Keywords
Vector spaces over finite fields , Furstenberg–Katznelson–Weiss , Distance sets
Journal title
Discrete Mathematics
Serial Year
2011
Journal title
Discrete Mathematics
Record number
1599583
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