ONLY FINITELY MANY TRIBONACCI DIOPHANTINE TRIPLES EXIST
| dc.authorid | IRMAK, Nurettin/0000-0003-0409-4342 | |
| dc.authorid | Szalay, Laszlo/0000-0002-4582-6100 | |
| dc.authorid | Luca, Florian/0000-0003-1321-4422 | |
| dc.contributor.author | Fuchs, Clemens | |
| dc.contributor.author | Hutle, Christoph | |
| dc.contributor.author | Irmak, Nurettin | |
| dc.contributor.author | Luca, Florian | |
| dc.contributor.author | Szalay, Laszlo | |
| dc.date.accessioned | 2024-11-07T13:34:28Z | |
| dc.date.available | 2024-11-07T13:34:28Z | |
| dc.date.issued | 2017 | |
| dc.department | Niğde Ömer Halisdemir Üniversitesi | |
| dc.description.abstract | Diophantine triples taking values in recurrence sequences have recently been studied quite a lot. In particular the question was raised whether or not there are finitely many Diophantine triples in the Tribonacci sequence. We answer this question here in the affirmative. We prove that there are only finitely many triples of integers 1 <= u < v < w such that uv + 1, uw 1, vw + 1 are Tribonacci numbers. The proof depends on the Subspace theorem. | |
| dc.description.sponsorship | FWF (Austrian Science Fund) [P24574]; Sparkling Science project EMMA [SPA 05/172] | |
| dc.description.sponsorship | C. Fuchs and C. Hutle were supported by FWF (Austrian Science Fund) grant No. P24574 and by the Sparkling Science project EMMA grant No. SPA 05/172. | |
| dc.identifier.doi | 10.1515/ms-2017-0015 | |
| dc.identifier.endpage | 862 | |
| dc.identifier.issn | 0139-9918 | |
| dc.identifier.issn | 1337-2211 | |
| dc.identifier.issue | 4 | |
| dc.identifier.scopus | 2-s2.0-85026639635 | |
| dc.identifier.scopusquality | Q2 | |
| dc.identifier.startpage | 853 | |
| dc.identifier.uri | https://doi.org/10.1515/ms-2017-0015 | |
| dc.identifier.uri | https://hdl.handle.net/11480/15993 | |
| dc.identifier.volume | 67 | |
| dc.identifier.wos | WOS:000407235100004 | |
| dc.identifier.wosquality | Q4 | |
| dc.indekslendigikaynak | Web of Science | |
| dc.indekslendigikaynak | Scopus | |
| dc.language.iso | en | |
| dc.publisher | Walter De Gruyter Gmbh | |
| dc.relation.ispartof | Mathematica Slovaca | |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | |
| dc.rights | info:eu-repo/semantics/openAccess | |
| dc.snmz | KA_20241106 | |
| dc.subject | Diophantine triples | |
| dc.subject | Tribonacci numbers | |
| dc.subject | Diophantine equations | |
| dc.subject | application of the Subspace theorem | |
| dc.title | ONLY FINITELY MANY TRIBONACCI DIOPHANTINE TRIPLES EXIST | |
| dc.type | Article |
