Open Access
2000 On the representations of $xy+yz+zx$
Jonathan Borwein, Kwok-Kwong Stephen Choi
Experiment. Math. 9(1): 153-158 (2000).


We show that there are at most 19 integers that are not of the form $xy+yz+xz$ with $x,y,z \ge 1$. Eighteen of them are small and easily found. The remaining possibility must be greater than $10^{11}$ and cannot occur if we assume the Generalized Riemann Hypothesis.


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Jonathan Borwein. Kwok-Kwong Stephen Choi. "On the representations of $xy+yz+zx$." Experiment. Math. 9 (1) 153 - 158, 2000.


Published: 2000
First available in Project Euclid: 5 March 2003

zbMATH: 0970.11011
MathSciNet: MR1758806

Primary: 11D85

Rights: Copyright © 2000 A K Peters, Ltd.

Vol.9 • No. 1 • 2000
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