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On Conway's Conjecture for Integer Sets

Published online by Cambridge University Press:  20 November 2018

William G. Spohn Jr
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Let A be a finite set of integers {ai} and A + A denote {ai + aj} with p different members and A — A denote {ai—aj) with m different members, the interesting conjecture of Conway [1] states that p < m, unless A is symmetric.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 14 , Issue 3 , September 1971 , pp. 461 - 462
Copyright
Copyright © Canadian Mathematical Society 1971

References

1. Conway, J. H., Problem 7 of Section VI of H.T. Croft's Research problems, mimeographed notes, Cambridge, August, 1967.Google Scholar
2. Marica, J., On a conjecture of Conway, Canad. Math. Bull. 12 (1969), 233-234.Google Scholar