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arXiv · 1312.7204

Families of cubic Thue equations with effective bounds for the solutions

Claude Levesque·Michel Waldschmidt
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Abstract

To each non totally real cubic extension $K$ of $\Q$ and to each generator $\alpha$ of the cubic field $K$, we attach a family of cubic Thue equations, indexed by the units of $K$, and we prove that this family of cubic Thue equations has only a finite number of integer solutions, by giving an effective upper bound for these solutions.

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Claude Levesque, Michel Waldschmidt. 2013-12-27. Families of cubic Thue equations with effective bounds for the solutions. https://arxiv.org/abs/1312.7204

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