Thue equations and CM-fields
Résumé
We obtain a polynomial type upper bound for the size of the integral solutions of
Thue equations $F(X,Y) = b$ defined over a totally real number field $K$,
assuming that $F(X,1)$ has a root $\alpha$ such that
$K(\alpha)$ is a CM-field.
Furthermore, we give an algorithm for the computation of the integral solutions of such an equation.
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