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Rank 0 Quadratic Twists of a Family of Elliptic Curves
dc.contributor.authorYu, Gangen_US
dc.date.accessioned2006-09-08T20:31:31Z
dc.date.available2006-09-08T20:31:31Z
dc.date.issued2003-02en_US
dc.identifier.citationYu, Gang; (2003). "Rank 0 Quadratic Twists of a Family of Elliptic Curves." Compositio Mathematica 135(3): 331-356. <http://hdl.handle.net/2027.42/42608>en_US
dc.identifier.issn0010-437Xen_US
dc.identifier.issn1570-5846en_US
dc.identifier.urihttps://hdl.handle.net/2027.42/42608
dc.description.abstractIn this paper, we consider a family of elliptic curves over ℚ with 2-torsion part ℤ 2 . We prove that, for every such elliptic curve, a positive proportion of quadratic twists have Mordell–Weil rank 0.en_US
dc.format.extent244595 bytes
dc.format.extent3115 bytes
dc.format.mimetypeapplication/pdf
dc.format.mimetypetext/plain
dc.language.isoen_US
dc.publisherKluwer Academic Publishers; Springer Science+Business Mediaen_US
dc.subject.otherMathematicsen_US
dc.subject.otherMathematics, Generalen_US
dc.subject.otherElliptic Curvesen_US
dc.subject.other2-descent Procedureen_US
dc.subject.otherCharacter Sumsen_US
dc.titleRank 0 Quadratic Twists of a Family of Elliptic Curvesen_US
dc.typeArticleen_US
dc.subject.hlbsecondlevelMathematicsen_US
dc.subject.hlbtoplevelScienceen_US
dc.description.peerreviewedPeer Revieweden_US
dc.contributor.affiliationumDepartment of Mathematics, The University of Michigan, Ann Arbor, MI, 48105, U.S.Aen_US
dc.contributor.affiliationumcampusAnn Arboren_US
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/42608/1/10599_2004_Article_395163.pdfen_US
dc.identifier.doihttp://dx.doi.org/10.1023/A:1022258905572en_US
dc.identifier.sourceCompositio Mathematicaen_US
dc.owningcollnameInterdisciplinary and Peer-Reviewed


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