Bounds on the number of Diophantine quintuples

dc.contributor.author	Trudgian, Timothy
dc.date.accessioned	2016-02-24T22:41:39Z
dc.date.issued	2015
dc.date.updated	2016-02-24T10:13:51Z
dc.description.abstract	We 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.issn	0022-314X
dc.identifier.uri	http://hdl.handle.net/1885/98766
dc.publisher	Academic Press
dc.source	Journal of Number Theory
dc.title	Bounds on the number of Diophantine quintuples
dc.type	Journal article
local.bibliographicCitation.lastpage	249
local.bibliographicCitation.startpage	233
local.contributor.affiliation	Trudgian, Timothy, College of Physical and Mathematical Sciences, ANU
local.contributor.authoruid	Trudgian, Timothy, u3958358
local.description.embargo	2037-12-31
local.description.notes	Imported from ARIES
local.identifier.absfor	010101 - Algebra and Number Theory
local.identifier.ariespublication	U3488905xPUB7518
local.identifier.citationvolume	157
local.identifier.doi	10.1016/j.jnt.2015.05.004
local.identifier.scopusID	2-s2.0-84936870386
local.type.status	Published Version

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