Computations on an equation of the Birch and Swinnerton-Dyer type

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dc.contributor.advisorVoloch, JoseĢ Felipeen
dc.creatorPortillo-Bobadilla, Francisco Xavieren
dc.date.accessioned2008-08-28T21:54:35Zen
dc.date.available2008-08-28T21:54:35Zen
dc.date.issued2004en
dc.descriptiontexten
dc.description.abstractLet us assume that E/Q is an elliptic curve of level N and rank equal to 1. Let q be a prime that does not divide the conductor. We study conjecture 4 of B. Mazur and J. Tate in [MT87]. This conjecture relates to the Birch and Swinnerton-Dyer problem in the q-adic case. We produce a lot of numerical evidence towards the conjecture. We also propose a refinement of the conjecture in the rank 1 case in section 2.3.
dc.description.departmentMathematicsen
dc.format.mediumelectronicen
dc.identifierb59289624en
dc.identifier.oclc57686014en
dc.identifier.proqst3143450en
dc.identifier.urihttp://hdl.handle.net/2152/1294en
dc.language.isoengen
dc.rightsCopyright is held by the author. Presentation of this material on the Libraries' web site by University Libraries, The University of Texas at Austin was made possible under a limited license grant from the author who has retained all copyrights in the works.en
dc.subject.lcshBirch-Swinnerton-Dyer conjectureen
dc.subject.lcshMazur-Tate conjectureen
dc.titleComputations on an equation of the Birch and Swinnerton-Dyer typeen
dc.type.genreThesisen

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