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Two more representation problems

Published online by Cambridge University Press:  20 January 2009

Andrew Bremner  and
Richard K. Guy
Andrew Bremner
Affiliation:
Department of Mathematics, Arizona State University, Tempe AZ 85287-1804, U.S.A.E-mail address:andrew@math.la.asu.edu
Richard K. Guy
Affiliation:
Department of Mathematics and Statistics, The University of Calgary, Calgary, Alberta, CanadaT2N 1N4, E-mail address:rkg@cpsc.ucalgary.ca
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Abstract

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We discuss the problem of finding those integers which may be represented by (x + y + z)3/xyz, and also those which may be represented by x/y + y/z + z/x, where x, y, z are integers. For example,

satisfy (x + y + z)3/(xyz) = -47, and

satisfy x/y + y/z + z/x = -86.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 40 , Issue 1 , February 1997 , pp. 1 - 17
Copyright
Copyright © Edinburgh Mathematical Society 1997

References

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