Geodesic
On Positive Integer Solutions of the Equation xy + yz + xz = n
Canadian mathematical bulletin, Tome 39 (1996) no. 2, pp. 199-202

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As it had been recognized by Liouville, Hermite, Mordell and others, the number of non-negative integer solutions of the equation in the title is strongly related to the class number of quadratic forms with discriminant —n. The purpose of this note is to point out a deeper relation which makes it possible to derive a reasonable upper bound for the number of solutions.
DOI : 10.4153/CMB-1996-024-5
Mots-clés : 11D09, 11R29, class numbers, diophantine equations, quadratic forms 
Hassan, Al-Zaid; Brindza, B.; Pintér, Á. On Positive Integer Solutions of the Equation xy + yz + xz = n. Canadian mathematical bulletin, Tome 39 (1996) no. 2, pp. 199-202. doi: 10.4153/CMB-1996-024-5
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     title = {On {Positive} {Integer} {Solutions} of the {Equation} xy + yz + xz = n},
     journal = {Canadian mathematical bulletin},
     pages = {199--202},
     year = {1996},
     volume = {39},
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     doi = {10.4153/CMB-1996-024-5},
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