On positive integer solutions of a special diophantine equation
| dc.authorid | https://orcid.org/0000-0001-7791-7181 | |
| dc.contributor.author | Emin, Ahmet | |
| dc.date.accessioned | 2025-01-29T12:47:09Z | |
| dc.date.available | 2025-01-29T12:47:09Z | |
| dc.date.issued | 2024 | |
| dc.department | Fakülteler, Fen Fakültesi, Matematik Bölümü | |
| dc.description.abstract | In this study, the positive solutions of the Diophantine equation D: x2 −( σ2 + 4) y2 − (2σ − 2) x −(2σ4 + 8σ2) y − σ6 − 4σ4 + σ2 − 2σ − 3 = 0 on the set Z are investigated, along with some recurrence relations that provide the relationships among these solutions. In addition, solutions of the Diophantine equation D in terms of generalized Fibonacci and Lucas sequences are examined. Furthermore, we search for the solutions of this equation over finite fields Fp where p is prime and p > 5. Finally, an example is given that satisfies our results. | |
| dc.identifier.endpage | 1276 | |
| dc.identifier.issn | 22195688 | |
| dc.identifier.issue | 4 | |
| dc.identifier.scopus | 2-s2.0-85215309620 | |
| dc.identifier.scopusquality | Q4 | |
| dc.identifier.startpage | 1266 | |
| dc.identifier.uri | https://pjm.ppu.edu/sites/default/files/papers/PJM_13%284%29_2024_65_to_74_0.pdf | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14619/15017 | |
| dc.identifier.volume | 13 | |
| dc.indekslendigikaynak | Web of Science | |
| dc.language.iso | en | |
| dc.publisher | Palestine Polytechnic University | |
| dc.relation.ispartof | Palestine Journal of Mathematics | |
| dc.relation.ispartofseries | Palestine Journal of Mathematics | |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | |
| dc.rights | info:eu-repo/semantics/openAccess | |
| dc.subject | Diophantine equation | |
| dc.subject | generalized Fibonacci and Lucas sequences | |
| dc.subject | Pell equation | |
| dc.subject | recurrence relation | |
| dc.title | On positive integer solutions of a special diophantine equation | |
| dc.type | Article | |
| oaire.citation.issue | 4 | |
| oaire.citation.volume | 13 |
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