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On a class of aperiodic sum-free sets

Published online by Cambridge University Press:  24 October 2008

Neil J. Calkin  and
Paul Erdós
Neil J. Calkin
Affiliation:
School of Mathematics, Georgia Institute of Technology, Atlanta, GA 30332, U.S.A e-mail: calkin@math.gatech.edu
Paul Erdós
Affiliation:
Hungarian Academy of Sciences, Mathematical Institute, Budapest, Hungary
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Abstract

We show that certain natural aperiodic sum-free sets are incomplete, that is that there are infinitely many n not in S which are not a sum of two elements of S.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 120 , Issue 1 , July 1996 , pp. 01 - 05
Copyright
Copyright © Cambridge Philosophical Society 1996

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References

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