| dc.contributor.author | Alfaya Sánchez, David | es-ES |
| dc.contributor.author | Calvo Pascual, Luis Ángel | es-ES |
| dc.contributor.author | Martínez de Guinea García, Alejandro | es-ES |
| dc.contributor.author | Rodrigo Hitos, Javier | es-ES |
| dc.contributor.author | Srinivasan, Anitha | es-ES |
| dc.date.accessioned | 2025-09-15T13:12:05Z | |
| dc.date.available | 2025-09-15T13:12:05Z | |
| dc.date.issued | 2025-12-31 | es_ES |
| dc.identifier.issn | 0015-0517 | es_ES |
| dc.identifier.uri | https://doi.org/10.1080/00150517.2025.2481607 | es_ES |
| dc.description | Artículos en revistas | es_ES |
| dc.description.abstract | We classify all solution triples with Fibonacci components to the equation a2 +b2 + c2 = 3abc + m, for positive m. We show that for m = 2 they are precisely (1, F(b), F(b + 2)), with even b; for m = 21, there exist exactly two Fibonacci solutions (1, 2, 8) and (2, 2, 13) and for any other m there exists at most one Fibonacci solution, which, in case it exists, is always minimal (i.e. it is a root of a Markoff tree). Moreover, we show that there is an infinite number of values of m admitting exactly one such solution. | es-ES |
| dc.description.abstract | We classify all solution triples with Fibonacci components to the equation a2 +b2 + c2 = 3abc + m, for positive m. We show that for m = 2 they are precisely (1, F(b), F(b + 2)), with even b; for m = 21, there exist exactly two Fibonacci solutions (1, 2, 8) and (2, 2, 13) and for any other m there exists at most one Fibonacci solution, which, in case it exists, is always minimal (i.e. it is a root of a Markoff tree). Moreover, we show that there is an infinite number of values of m admitting exactly one such solution. | en-GB |
| dc.language.iso | en-GB | es_ES |
| dc.source | Revista: Fibonacci Quarterly, Periodo: 1, Volumen: online, Número: 3, Página inicial: 517, Página final: 541 | es_ES |
| dc.subject.other | Instituto de Investigación Tecnológica (IIT) | es_ES |
| dc.title | A classification of Markoff-Fibonacci m-triples | es_ES |
| dc.type | info:eu-repo/semantics/article | es_ES |
| dc.description.version | info:eu-repo/semantics/publishedVersion | es_ES |
| dc.rights.holder | | es_ES |
| dc.rights.accessRights | info:eu-repo/semantics/openAccess | es_ES |
| dc.keywords | Markoff triples; generalized Markoff equation; Fibonacci solutions | es-ES |
| dc.keywords | Markoff triples; generalized Markoff equation; Fibonacci solutions | en-GB |
