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Bounds on the number of Diophantine quintuples

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dc.contributor.authorTrudgian, Timothy
dc.date.accessioned2016-02-24T22:41:39Z
dc.date.issued2015
dc.date.updated2016-02-24T10:13:51Z
dc.description.abstractWe consider Diophantine quintuples {a,b,c,d,e}{a,b,c,d,e}. These are sets of distinct 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 2.3⋅10292.3⋅1029 Diophantine quintuples.
dc.identifier.issn0022-314X
dc.identifier.urihttp://hdl.handle.net/1885/98766
dc.publisherAcademic Press
dc.sourceJournal of Number Theory
dc.titleBounds on the number of Diophantine quintuples
dc.typeJournal article
local.bibliographicCitation.lastpage249
local.bibliographicCitation.startpage233
local.contributor.affiliationTrudgian, Timothy, College of Physical and Mathematical Sciences, ANU
local.contributor.authoruidTrudgian, Timothy, u3958358
local.description.embargo2037-12-31
local.description.notesImported from ARIES
local.identifier.absfor010101 - Algebra and Number Theory
local.identifier.ariespublicationU3488905xPUB7518
local.identifier.citationvolume157
local.identifier.doi10.1016/j.jnt.2015.05.004
local.identifier.scopusID2-s2.0-84936870386
local.type.statusPublished Version

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