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Searching for Diophantine quintuples

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dc.contributor.authorCipu, Mihai
dc.contributor.authorTrudgian, Tim
dc.date.accessioned2016-08-24T05:17:30Z
dc.date.available2016-08-24T05:17:30Z
dc.date.issued2016-05-18
dc.description.abstractWe 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.issn0065-1036en_AU
dc.identifier.urihttp://hdl.handle.net/1885/107296
dc.publisherPolish Academy of Sciences, Institute of Mathematicsen_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.sourceActa Arithmeticaen_AU
dc.subjectDiophantine m-tuplesen_AU
dc.subjectPell equationsen_AU
dc.subjectlinear forms in logarithmsen_AU
dc.titleSearching for Diophantine quintuplesen_AU
dc.typeJournal articleen_AU
dcterms.accessRightsOpen Access
local.bibliographicCitation.issue4en_AU
local.bibliographicCitation.lastpage382en_AU
local.bibliographicCitation.startpage365en_AU
local.contributor.affiliationTrudgian, T. S., Mathematical Sciences Institute, The Australian National Universityen_AU
local.contributor.authoruidu3958358en_AU
local.identifier.citationvolume173en_AU
local.identifier.doi10.4064/aa8254-2-2016en_AU
local.publisher.urlhttps://www.impan.pl/en_AU
local.type.statusAccepted Versionen_AU

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