dc.creator | González Jiménez, Enrique | es |
dc.creator | Tornero Sánchez, José María | es |
dc.date.accessioned | 2016-06-07T09:29:48Z | |
dc.date.available | 2016-06-07T09:29:48Z | |
dc.date.issued | 2013-06 | |
dc.identifier.citation | González Jiménez, E. y Tornero Sánchez, J.M. (2013). Markoff-Rosenberger triples in arithmetic progression. Journal of Symbolic Computation, 53, 53-63. | |
dc.identifier.issn | 0747-7171 | es |
dc.identifier.uri | http://hdl.handle.net/11441/41959 | |
dc.description.abstract | We study the solutions of the Rosenberg–Markoff equation ax2 + by2 + cz2 = dxyz (a generalization of the well–known Markoff equation). We specifically focus on looking for solutions in arithmetic progression that lie in the ring of integers of a number field. With the help of previous work by Alvanos and Poulakis, we give a complete decision algorithm, which allows us to prove finiteness results concerning these particular solutions. Finally, some extensive computations are presented regarding two particular cases: the generalized Markoff equation x 2 +y 2 +z 2 = dxyz over quadratic fields and
the classic Markoff equation x 2 + y 2 + z 2 = 3xyz over an arbitrary number
field. | es |
dc.description.sponsorship | Ministerio de Ciencia e Innovación | es |
dc.description.sponsorship | Junta de Andalucía | es |
dc.description.sponsorship | Fondo Social Europeo | es |
dc.description.sponsorship | Fondo Europeo de Desarrollo Regional | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Elsevier | es |
dc.relation.ispartof | Journal of Symbolic Computation, 53, 53-63. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Markoff equation | es |
dc.subject | arithmetic progression | es |
dc.title | Markoff-Rosenberger triples in arithmetic progression | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/submittedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de álgebra | es |
dc.relation.projectID | MTM2009–07291 | es |
dc.relation.projectID | FQM–218 | es |
dc.relation.projectID | P08–FQM–03894 | es |
dc.relation.publisherversion | http://dx.doi.org/10.1016/j.jsc.2012.11.003 | |
dc.identifier.doi | 10.1016/j.jsc.2012.11.003 | es |
idus.format.extent | 11 p. | es |
dc.journaltitle | Journal of Symbolic Computation | es |
dc.publication.volumen | 53 | es |
dc.publication.initialPage | 53 | es |
dc.publication.endPage | 63 | es |
dc.relation.publicationplace | Amsterdam | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/41959 | |