Balancing Diophantine triples with distance 1
| dc.contributor.author | Alp, Murat | |
| dc.contributor.author | Irmak, Nurettin | |
| dc.contributor.author | Szalay, Laszlo | |
| dc.date.accessioned | 2019-08-01T13:38:39Z | |
| dc.date.available | 2019-08-01T13:38:39Z | |
| dc.date.issued | 2015 | |
| dc.department | Niğde ÖHÜ | |
| dc.description.abstract | For a positive real number let the Balancing distance be the distance from to the closest Balancing number. The Balancing sequence is defined by the initial values , and by the binary recurrence relation , . In this paper, we show that there exist only one positive integer triple such that the Balancing distances , and all are exactly 1. | |
| dc.description.sponsorship | TUBITAK-BIDEB | |
| dc.description.sponsorship | This research is supported by TUBITAK-BIDEB. The paper was essentially prepared when the third author visited Department of Mathematics, Nigde University in August, 2013. The third author is grateful for the support of TUBITAK-BIDEB, and for the hospitality of Department of Mathematics, especially he is greatly indebted to Professor Murat Alp, Tarik Atay and Nurettin Irmak. | |
| dc.identifier.doi | 10.1007/s10998-014-0074-8 | |
| dc.identifier.endpage | 10 | |
| dc.identifier.issn | 0031-5303 | |
| dc.identifier.issn | 1588-2829 | |
| dc.identifier.issue | 1 | |
| dc.identifier.scopus | 2-s2.0-84938216222 | |
| dc.identifier.scopusquality | Q2 | |
| dc.identifier.startpage | 1 | |
| dc.identifier.uri | https://dx.doi.org/10.1007/s10998-014-0074-8 | |
| dc.identifier.uri | https://hdl.handle.net/11480/3884 | |
| dc.identifier.volume | 71 | |
| dc.identifier.wos | WOS:000358675000001 | |
| dc.identifier.wosquality | Q4 | |
| dc.indekslendigikaynak | Web of Science | |
| dc.indekslendigikaynak | Scopus | |
| dc.institutionauthor | [0-Belirlenecek] | |
| dc.language.iso | en | |
| dc.publisher | SPRINGER | |
| dc.relation.ispartof | PERIODICA MATHEMATICA HUNGARICA | |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | |
| dc.rights | info:eu-repo/semantics/openAccess | |
| dc.subject | Diophantine triples | |
| dc.subject | Balancing numbers | |
| dc.title | Balancing Diophantine triples with distance 1 | |
| dc.type | Article |
