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      On a Furstenberg-Katznelson-Weiss type theorem over finite fields

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          Abstract

          Using Fourier analysis, Covert, Hart, Iosevich and Uriarte-Tuero (2008) showed that if the cardinality of a subset of the 2-dimensional vector space over a finite field with q elements is >= rq^2, with q^{-1/2} << r <= 1 then it contains an isometric copy of >= crq^3 triangles. In this note, we give a graph theoretic proof of this result.

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          Author and article information

          Journal
          17 July 2008
          Article
          0807.2849
          166a1321-6f4a-46c0-afa5-269b4ffb3e5d

          http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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