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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Language: English 
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| Official URL: https://dx.doi.org/10.1016/j.jalgebra.2016.04.033 |
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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.
| Item Type: | Article |
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| 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 |
| Institutional Unit: | Schools > School of Engineering, Mathematics and Physics > Mathematical Sciences |
| Former Institutional Unit: |
Divisions > Division of Natural Sciences > School of Mathematics Statistics and Actuarial Science Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science
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| Depositing User: | Philipp Lampe |
| Date Deposited: | 16 Jul 2018 16:32 UTC |
| Last Modified: | 20 May 2025 11:39 UTC |
| Resource URI: | https://kar.kent.ac.uk/id/eprint/67640 (The current URI for this page, for reference purposes) |
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