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LINEAR EQUATIONS IN $\mathbb{Z}_{\lowercase{p}}$

Published online by Cambridge University Press:  02 August 2005

TOMASZ SCHOEN
TOMASZ SCHOEN
Affiliation:
Department of Discrete Mathematics, Adam Mickiewicz University, ul. Umultowska 87, 61–614 Poznań, Polandschoen@amu.edu.pl
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Abstract

A lower and an upper bound are proved for the maximum size of a subset of $\mathbb{Z}/p\mathbb{Z}$ containing no solutions of a fixed linear equation.

Keywords

11B5011B7511P99
Type
Papers
Information
Bulletin of the London Mathematical Society , Volume 37 , Issue 4 , August 2005 , pp. 495 - 501
Copyright
© The London Mathematical Society 2005

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Footnotes

Research partially supported by KBN Grant 2 P03A 007 24.