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)
|
PDF
Author's Accepted Manuscript
Language: English 
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
|
|
|
Download this file (PDF/241kB) |
Preview |
| Request a format suitable for use with assistive technology e.g. a screenreader | |
| Official URL: 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: | Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science |
| Depositing User: | Philipp Lampe |
| Date Deposited: | 16 Jul 2018 16:32 UTC |
| Last Modified: | 05 Nov 2024 11:08 UTC |
| Resource URI: | https://kar.kent.ac.uk/id/eprint/67640 (The current URI for this page, for reference purposes) |
- Link to SensusAccess
- Export to:
- RefWorks
- EPrints3 XML
- BibTeX
- CSV
- Depositors only (login required):
Altmetric
Altmetric
