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arXiv · 1602.01011

Diophantine equations via cluster transformations

Philipp Lampe
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Abstract

Motivated by Fomin and Zelevinsky's theory of cluster algebras we introduce a variant of the Markov equation; we show that all natural solutions of the equation arise from an initial solution by cluster transformations.

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Philipp Lampe. 2016-02-02. Diophantine equations via cluster transformations. https://doi.org/10.1016/j.algebra.2016.04.033

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