Please use this identifier to cite or link to this item:
https://hdl.handle.net/20.500.13091/4253
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DC Field | Value | Language |
---|---|---|
dc.contributor.author | Irmak, Nurettin | - |
dc.date.accessioned | 2023-05-31T20:19:34Z | - |
dc.date.available | 2023-05-31T20:19:34Z | - |
dc.date.issued | 2023 | - |
dc.identifier.issn | 1607-3606 | - |
dc.identifier.issn | 1727-933X | - |
dc.identifier.uri | https://doi.org/10.2989/16073606.2023.2178983 | - |
dc.identifier.uri | https://hdl.handle.net/20.500.13091/4253 | - |
dc.description | Article; Early Access | en_US |
dc.description.abstract | Recently, Luca and Szalay solved the equation (2(k) - 1) (3(l )- 1) = 5(m) - 1. Motivated by this equation, we show that the solutions of the equation (F-n(k) -1) (F-n+1(l)-1) = F-n+2 (m)- 1 are (n, k, l, m) = (3, 2, 2, 2) and (5, 2, 1, 2). Here F-n is the n(th) Fibonacci number. To prove this, the main tools are linear forms in logarithm of algebraic numbers and the Lenstra-Lenstra-Lovasz (LLL) lattice basis reduction algorithm. | en_US |
dc.language.iso | en | en_US |
dc.publisher | Taylor & Francis Ltd | en_US |
dc.relation.ispartof | Quaestiones Mathematicae | en_US |
dc.rights | info:eu-repo/semantics/closedAccess | en_US |
dc.subject | Fibonacci number | en_US |
dc.subject | exponential diophantine equation | en_US |
dc.title | A generalization of the equation (2(k)-1) (3(l)-1)=5(m)-1 | en_US |
dc.type | Article | en_US |
dc.identifier.doi | 10.2989/16073606.2023.2178983 | - |
dc.identifier.scopus | 2-s2.0-85149798978 | en_US |
dc.department | KTÜN | en_US |
dc.identifier.wos | WOS:000944057300001 | en_US |
dc.institutionauthor | … | - |
dc.relation.publicationcategory | Makale - Uluslararasi Hakemli Dergi - Kurum Ögretim Elemani | en_US |
dc.authorscopusid | 24477018800 | - |
dc.identifier.scopusquality | Q2 | - |
item.grantfulltext | embargo_20300101 | - |
item.fulltext | With Fulltext | - |
item.languageiso639-1 | en | - |
item.cerifentitytype | Publications | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
item.openairetype | Article | - |
crisitem.author.dept | 02.05. Department of Engineering Basic Sciences | - |
Appears in Collections: | Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collections WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collections |
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File | Size | Format | |
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A generalization of the equation 2k 1 3l 1 5m 1.pdf Until 2030-01-01 | 416.45 kB | Adobe PDF | View/Open Request a copy |
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