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Diophantine equations via cluster transformations

Lampe, Philipp (2016) Diophantine equations via cluster transformations. Journal of Algebra, 462 . pp. 320-337. ISSN 0021-8693. (doi:10.1016/j.jalgebra.2016.04.033) (KAR id:67640)

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https://dx.doi.org/10.1016/j.jalgebra.2016.04.033

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.

Item Type: Article
DOI/Identification number: 10.1016/j.jalgebra.2016.04.033
Uncontrolled keywords: Cluster algebras, Quiver mutation, Markov equation, Number theory
Subjects: Q Science > QA Mathematics (inc Computing science) > QA165 Combinatorics
Q Science > QA Mathematics (inc Computing science) > QA150 Algebra > QA241 Number theory
Divisions: Faculties > Sciences > School of Mathematics Statistics and Actuarial Science
Depositing User: Philipp Lampe
Date Deposited: 16 Jul 2018 16:32 UTC
Last Modified: 14 Jan 2020 09:22 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/67640 (The current URI for this page, for reference purposes)
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