Lagrange's Algorithm Revisited: Solving at 2 + btu + cu 2 = n in the Case of Negative Discriminant
| dc.contributor.author | Matthews, Keith | |
| dc.date.accessioned | 2015-12-07T22:49:44Z | |
| dc.date.available | 2015-12-07T22:49:44Z | |
| dc.date.issued | 2014 | |
| dc.date.updated | 2015-12-07T12:12:22Z | |
| dc.description.abstract | We make more accessible a neglected continued fraction algorithm of Lagrange for solving the equation at2 + btu + cu2 = n in relatively prime integers t, u, where a> 0, gcd(a,n) = 1, and D = b2 - 4ac < 0. The cases D = -4 and D = -3 present a consec | |
| dc.identifier.issn | 1530-7638 | |
| dc.identifier.uri | http://hdl.handle.net/1885/26902 | |
| dc.publisher | University of Waterloo | |
| dc.source | Journal of Integer Sequences | |
| dc.title | Lagrange's Algorithm Revisited: Solving at 2 + btu + cu 2 = n in the Case of Negative Discriminant | |
| dc.type | Journal article | |
| local.bibliographicCitation.issue | 11 | |
| local.bibliographicCitation.lastpage | 10 | |
| local.bibliographicCitation.startpage | 1 | |
| local.contributor.affiliation | Matthews, Keith, College of Physical and Mathematical Sciences, ANU | |
| local.contributor.authoruid | Matthews, Keith, a176508 | |
| local.description.notes | Imported from ARIES | |
| local.identifier.absfor | 010101 - Algebra and Number Theory | |
| local.identifier.absseo | 970101 - Expanding Knowledge in the Mathematical Sciences | |
| local.identifier.ariespublication | u5328909xPUB47 | |
| local.identifier.citationvolume | 17 | |
| local.identifier.scopusID | 2-s2.0-84910048305 | |
| local.type.status | Published Version |