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arXiv · 1407.6556

Thue equations and CM-fields

Yves Aubry·Dimitrios Poulakis
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Abstract

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 $α$ such that $K(α)$ is a CM-field. Furthermore, we give an algorithm for the computation of the integral solutions of such an equation.

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Yves Aubry, Dimitrios Poulakis. 2015-01-07. Thue equations and CM-fields. https://arxiv.org/abs/1407.6556

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