Author:
Bremner Andrew,Guy Richard K.
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 byx/y+y/z+z/x, wherex, y, zare integers. For example,satisfy (x+y+z)3/(xyz) = -47, andsatisfyx/y+y/z+z/x= -86.
Publisher
Cambridge University Press (CUP)
Cited by
7 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献
1. On integer values of sum and product of three positive rational numbers;Periodica Mathematica Hungarica;2023-06-05
2. On Sums of Positive Rationals with Given Products;Mediterranean Journal of Mathematics;2022-06-27
3. The equation $x/y+y/z+z/x=4$ revisited;Elemente der Mathematik;2022-06-24
4. On a remark of Sierpínski;Rocky Mountain Journal of Mathematics;2022-04-01
5. Richard Kenneth Guy, 1916–2020;Bulletin of the London Mathematical Society;2022-02