Yayın: ON THE DIOPHANTINE EQUATION x2
| dc.contributor.author | Alan, Murat | |
| dc.contributor.author | Aydin, Mustafa | |
| dc.date.accessioned | 2026-06-27T14:52:12Z | |
| dc.date.issued | 2023 | |
| dc.description.abstract | In this paper, we find all integer solutions (x, y, n, a, b, c) of the equation in the title for non-negative integers a, b and c under the condition that the integers x and y are relatively prime and n >= 3. The proof depends on the famous primitive divisor theorem due to Bilu, Hanrot and Voutier and the computational techniques on some elliptic curves. | en |
| dc.description.uri | https://doi.org/10.5817/am2023-5-411 | |
| dc.identifier.doi | 10.5817/am2023-5-411 | |
| dc.identifier.endpage | 420 | |
| dc.identifier.issn | 1212-5059 | |
| dc.identifier.issue | 5 | |
| dc.identifier.startpage | 411 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14981/65638 | |
| dc.identifier.volume | 59 | |
| dc.identifier.wos | 001099852600004 | |
| dc.language.iso | eng | |
| dc.publisher | MASARYK UNIV, FAC SCIENCE | |
| dc.relation.ispartof | ARCHIVUM MATHEMATICUM | |
| dc.rights | openAccess | |
| dc.subject | diophantine equations | |
| dc.subject | primitive divisor theorem | |
| dc.subject | Ramanujan-Nagell equations | |
| dc.subject | X(2)+2(A) | |
| dc.subject | Mathematics | |
| dc.title | ON THE DIOPHANTINE EQUATION x2 | |
| dc.type | Article | |
| dspace.entity.type | Publication | |
| local.import.source | WOS |