Searching for Diophantine quintuples
| dc.contributor.author | Cipu, Mihai | |
| dc.contributor.author | Trudgian, Tim | |
| dc.date.accessioned | 2016-08-24T05:17:30Z | |
| dc.date.available | 2016-08-24T05:17:30Z | |
| dc.date.issued | 2016-05-18 | |
| dc.description.abstract | We consider Diophantine quintuples {a,b,c,d,e}. These are sets of positive integers, the product of any two elements of which is one less than a perfect square. It is conjectured that there are no Diophantine quintuples; we improve on current estimates to show that there are at most 5.441⋅10²⁶ Diophantine quintuples. | en_AU |
| dc.identifier.issn | 0065-1036 | en_AU |
| dc.identifier.uri | http://hdl.handle.net/1885/107296 | |
| dc.publisher | Polish Academy of Sciences, Institute of Mathematics | en_AU |
| dc.rights | © Instytut Matematyczny PAN, 2016. http://www.sherpa.ac.uk/romeo/issn/0065-1036/..."author can archive post-print (ie final draft post-refereeing)" from SHERPA/RoMEO site (as at 25/08/16). | en_AU |
| dc.source | Acta Arithmetica | en_AU |
| dc.subject | Diophantine m-tuples | en_AU |
| dc.subject | Pell equations | en_AU |
| dc.subject | linear forms in logarithms | en_AU |
| dc.title | Searching for Diophantine quintuples | en_AU |
| dc.type | Journal article | en_AU |
| dcterms.accessRights | Open Access | |
| local.bibliographicCitation.issue | 4 | en_AU |
| local.bibliographicCitation.lastpage | 382 | en_AU |
| local.bibliographicCitation.startpage | 365 | en_AU |
| local.contributor.affiliation | Trudgian, T. S., Mathematical Sciences Institute, The Australian National University | en_AU |
| local.contributor.authoruid | u3958358 | en_AU |
| local.identifier.citationvolume | 173 | en_AU |
| local.identifier.doi | 10.4064/aa8254-2-2016 | en_AU |
| local.publisher.url | https://www.impan.pl/ | en_AU |
| local.type.status | Accepted Version | en_AU |