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A Sárközy Theorem for Finite Fields

Published online by Cambridge University Press:  03 December 2003

Randall McCutcheon
Randall McCutcheon*
Affiliation:
Department of Mathematical Sciences, University of Memphis, Memphis, TN 38152, USA
*
(e-mail: rmcctchn@memphis.edu)
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Abstract

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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.

Information

Type
Research Article
Information
Combinatorics, Probability and Computing , Volume 12 , Issue 5-6: This issue contains volume twelve, parts five and six , November 2003 , pp. 643 - 651
Copyright
Copyright © Cambridge University Press 2003