On the representations of $xy+yz+zx$
Borwein, Jonathan ; Choi, Kwok-Kwong Stephen
Experiment. Math., Tome 9 (2000) no. 3, p. 153-158 / Harvested from Project Euclid
Text on Project Euclid
PDF
Alt PDF
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.
Publié le : 2000-05-14
Classification:  11D85 
@article{1046889597,
     author = {Borwein, Jonathan and Choi, Kwok-Kwong Stephen},
     title = {On the representations of $xy+yz+zx$},
     journal = {Experiment. Math.},
     volume = {9},
     number = {3},
     year = {2000},
     pages = { 153-158},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1046889597}
}

Borwein, Jonathan; Choi, Kwok-Kwong Stephen. On the representations of $xy+yz+zx$. Experiment. Math., Tome 9 (2000) no. 3, pp.  153-158. http://gdmltest.u-ga.fr/item/1046889597/