Publication: Resolution of the equation (3 x 1-1)(3x2-1) = (5y1-1)(5y2-1)
dc.contributor.author | Liptai, Kalman | |
dc.contributor.author | Nemeth, Laszlo | |
dc.contributor.author | Soydan, Gökhan | |
dc.contributor.author | Szalay, Laszlo | |
dc.contributor.buuauthor | SOYDAN, GÖKHAN | |
dc.contributor.department | Bursa Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü | |
dc.contributor.orcid | 0000-0002-6321-4132 | |
dc.contributor.researcherid | M-9459-2017 | |
dc.date.accessioned | 2024-07-26T10:16:14Z | |
dc.date.available | 2024-07-26T10:16:14Z | |
dc.date.issued | 2020-08-01 | |
dc.description.abstract | Consider the diophantine equation (3(x1) - 1)(3(x2) - 1) = (5(y1) - 1)(5(y2) - 1) in positive integers x(1) <= x(2) and y(1) <= y(2). Each side of the equation is a product of two terms of a given binary recurrence. We prove that the only solution to the title equation is (x(1), x(2), y(1), y(2)) = (1, 2, 1, 1). The main novelty of our result is that we allow products of two terms on both sides. | |
dc.description.sponsorship | Orszagos Tudomanyos Kutatasi Alapprogramok (OTKA) - 128088 - EFOP-3.6.1-16-2016-00018 | |
dc.identifier.doi | 10.1216/rmj.2020.50.1425 | |
dc.identifier.eissn | 1945-3795 | |
dc.identifier.endpage | 1433 | |
dc.identifier.issn | 0035-7596 | |
dc.identifier.issue | 4 | |
dc.identifier.startpage | 1425 | |
dc.identifier.uri | https://doi.org/10.1216/rmj.2020.50.1425 | |
dc.identifier.uri | https://projecteuclid.org/journals/rocky-mountain-journal-of-mathematics/volume-50/issue-4/Resolution-of-the-equation-3x_1-13x_2-15y_1-15y_2-1/10.1216/rmj.2020.50.1425.short | |
dc.identifier.uri | https://arxiv.org/pdf/2001.09717 | |
dc.identifier.uri | https://hdl.handle.net/11452/43472 | |
dc.identifier.volume | 50 | |
dc.identifier.wos | 000576337600017 | |
dc.indexed.wos | WOS.SCI | |
dc.language.iso | en | |
dc.publisher | Rocky Mt Math Consortium | |
dc.relation.journal | Rocky Mountain Journal of Mathematics | |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi | |
dc.rights | info:eu-repo/semantics/closedAccess | |
dc.subject | Fibonacci | |
dc.subject | Numbers | |
dc.subject | Exponential diophantine equation | |
dc.subject | Linear recurrence | |
dc.subject | Baker method | |
dc.subject | Science & technology | |
dc.subject | Physical sciences | |
dc.subject | Mathematics | |
dc.title | Resolution of the equation (3 x 1-1)(3x2-1) = (5y1-1)(5y2-1) | |
dc.type | Article | |
dspace.entity.type | Publication | |
relation.isAuthorOfPublication | 356f7af9-3f0f-4c82-8733-d98627634647 | |
relation.isAuthorOfPublication.latestForDiscovery | 356f7af9-3f0f-4c82-8733-d98627634647 |