Thue Equations and Lattices

Jeffrey Lin Thunder

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arXiv · 1505.00197

Thue Equations and Lattices

Jeffrey Lin Thunder

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Abstract

We consider Diophantine equations of the kind $|F(x,y)|= m$, where $F(X,Y )\in \bz [X,Y]$ is a homogeneous polynomial of degree $d\ge 3$ that has non-zero discriminant and $m$ is a positive integer. We prove results that simplify those of Stewart and provide heuristics for a conjecture of Stewart.

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Jeffrey Lin Thunder. 2015-05-01. Thue Equations and Lattices. https://arxiv.org/abs/1505.00197

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