Geodesic
On the Rational Points of the Curve f (X,Y)q = h(X)g(X,Y)
Canadian mathematical bulletin, Tome 52 (2009) no. 1, pp. 117-126

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Let $\text{q}\,\text{=}\,\text{2,}\,\text{3}$ and $f\left( X,\,Y \right)$ , $g\left( X,\,Y \right)$ , $h\left( X \right)$ be polynomials with integer coefficients. In this paper we deal with the curve $f{{\left( X,\,Y \right)}^{\text{q}}}\,=\,h\left( X \right)g\left( X,\,Y \right)$ , and we show that under some favourable conditions it is possible to determine all of its rational points.
DOI : 10.4153/CMB-2009-014-1
Mots-clés : 11G30, 14G05, 14G25 
Poulakis, Dimitrios. On the Rational Points of the Curve f (X,Y)q = h(X)g(X,Y). Canadian mathematical bulletin, Tome 52 (2009) no. 1, pp. 117-126. doi: 10.4153/CMB-2009-014-1
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     author = {Poulakis, Dimitrios},
     title = {On the {Rational} {Points} of the {Curve} f {(X,Y)q} = {h(X)g(X,Y)}},
     journal = {Canadian mathematical bulletin},
     pages = {117--126},
     year = {2009},
     volume = {52},
     number = {1},
     doi = {10.4153/CMB-2009-014-1},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2009-014-1/}
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