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arXiv · 1402.2005

Extremal families of cubic Thue equations

Michael A. Bennett·Amir Ghadermarzi
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Abstract

We exactly determine the integral solutions to a previously untreated infinite family of cubic Thue equations of the form $F(x,y)=1$ with at least $5$ such solutions. Our approach combines elementary arguments, with lower bounds for linear forms in logarithms and lattice-basis reduction.

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Michael A. Bennett, Amir Ghadermarzi. 2014-02-09. Extremal families of cubic Thue equations. https://arxiv.org/abs/1402.2005

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