A positive proportion of elliptic curves over Q have rank one

Author(s): Bhargava, Manjul; Skinner, Christopher M.

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DC Field	Value	Language
dc.contributor.author	Bhargava, Manjul	-
dc.contributor.author	Skinner, Christopher M.	-
dc.date.accessioned	2017-11-21T19:04:30Z	-
dc.date.available	2017-11-21T19:04:30Z	-
dc.date.issued	2014-06	en_US
dc.identifier.citation	Bhargava, Manjul, Skinner, Christopher. (2014). A positive proportion of elliptic curves over Q have rank one. JOURNAL OF THE RAMANUJAN MATHEMATICAL SOCIETY, 29 (221 - 242	en_US
dc.identifier.issn	0970-1249	-
dc.identifier.uri	http://arks.princeton.edu/ark:/88435/pr1d93h	-
dc.description.abstract	We prove that, when all elliptic curves over Q are ordered by naive height, a positive proportion have both algebraic and analytic rank one. It follows that the average rank and the average analytic rank of elliptic curves are both strictly positive.	en_US
dc.format.extent	221 - 242	en_US
dc.language.iso	en	en_US
dc.relation.ispartof	JOURNAL OF THE RAMANUJAN MATHEMATICAL SOCIETY	en_US
dc.rights	Author's manuscript	en_US
dc.title	A positive proportion of elliptic curves over Q have rank one	en_US
dc.type	Journal Article	en_US
dc.identifier.eissn	2320-3110	-
pu.type.symplectic	http://www.symplectic.co.uk/publications/atom-terms/1.0/journal-article	en_US

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