Two more representation problems

Andrew Bremner, Richard K. Guy

Research output: Contribution to journalArticle

2 Scopus citations

Abstract

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, x = -3888953655693309094309277243253295616000, y = 870614350109377939730940722158565152629, z = -211788680591112853611774198484237121509 satisfy (x + y + z)3/(xyz) = -47, and x = 10695607136243980529530429582617991136107507407713992824, y = -123256655541019041417443728014061733054947136623569984, z = 8446121230200308492574953446465639841507828834632079329 satisfy x/y + y/z + z/x = -86.

Original languageEnglish (US)
Pages (from-to)1-17
Number of pages17
JournalProceedings of the Edinburgh Mathematical Society
Volume40
Issue number1
StatePublished - Dec 1 1997

ASJC Scopus subject areas

  • Mathematics(all)

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