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A Sárközy Theorem for Finite Fields

Published online by Cambridge University Press:  03 December 2003

Randall McCutcheon*
Affiliation:
Department of Mathematical Sciences, University of Memphis, Memphis, TN 38152, USA

Abstract

A classical result of Sárközy states that, for any and any positive density subset E of , there exist elements x and y of E and such that . A version of this result for finite fields is derived from a recent theorem of P. Larick, a short proof of which is also given.

Type
Research Article
Copyright
Copyright © Cambridge University Press 2003

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