Geodesic
On the Diophantine Equation x(x + d)(x + 2d) +y(y + d)(y + 2d) = z(z + d)(z + 2d)
Canadian mathematical bulletin, Tome 17 (1974) no. 1, pp. 27-34

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DOI

A previous result of the author concerning the parametric representation of infinitely many solutions of the title equation is strongly improved. New classes each containing infinitely many solutions of the equation for specified values of d are stated explicitly. The method of solution hinges heavily on solving the generalized Pell’s equation x 2—Dy 2=c.
DOI : 10.4153/CMB-1974-005-5
Mots-clés : 10 B10(Diophantine Equations, Cubic, Quartic Equations) 
On the Diophantine Equation x(x + d)(x + 2d) +y(y + d)(y + 2d) = z(z + d)(z + 2d). Canadian mathematical bulletin, Tome 17 (1974) no. 1, pp. 27-34. doi: 10.4153/CMB-1974-005-5
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     journal = {Canadian mathematical bulletin},
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     year = {1974},
     volume = {17},
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     doi = {10.4153/CMB-1974-005-5},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1974-005-5/}
}
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