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arXiv · 1511.08649

A note on reversibility and Pell equations

Mario Bessa·Maria Carvalho·Alexandre Rodrigues
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Abstract

We consider hyperbolic toral automorphisms which are reversible with respect to a linear area-preserving involution. We will prove that within this context reversibility is linked to a generalized Pell equation whose solutions we will analyze. Additionally, we will verify to what extent reversibility is a common feature and characterize the generic setting.

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Mario Bessa, Maria Carvalho, Alexandre Rodrigues. 2015-11-27. A note on reversibility and Pell equations. https://arxiv.org/abs/1511.08649

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