A shadow Markov equation

We introduce an analogue of the classical Markov equation that involves dual numbers $a+\alpha \varepsilon $ with $\varepsilon ^2=0$. This equation characterizes the “shadow Markov numbers” recently considered by one of us. We show that this equation is characterized by invariance by cluster algebra...

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Bibliographic Details
Main Authors: Bonin, Nathan, Ovsienko, Valentin
Format: Article
Language:English
Published: Académie des sciences 2023-11-01
Series:Comptes Rendus. Mathématique
Online Access:https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.496/
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