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XXIV.—Sets of Integers Containing not more than a Given Number of Terms in Arithmetical Progression*

Published online by Cambridge University Press:  14 February 2012

R. A. Rankin
R. A. Rankin
Affiliation:
Department of Mathematics, University of Glasgow.
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Synopsis

Sets of integers are constructed having the property that n members are in arithmetical progression only if they are all equal; here n is any integer greater than or equal to 3. Previous results have been obtained only for n=3. The problem is generalized in various ways. The analysis can also be applied to construct sets for the analogous problem of geometrical progressions. These sets are of positive density, unlike those of the first kind, which have zero density.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 65 , Issue 4 , 1961 , pp. 332 - 344
Copyright
Copyright © Royal Society of Edinburgh 1961

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References

REFERENCES TO LITERATURE

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