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On the Rational Points of the Curve f (X,Y)q = h(X)g(X,Y)
Published online by Cambridge University Press: 20 November 2018
Abstract
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.
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- Copyright © Canadian Mathematical Society 2009
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