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Reference: Coates, J, Kim, M, Liang, Z et al., (2014). On the 2-part of the Birch-Swinnerton-Dyer conjecture for elliptic curves with complex multiplication. Münster Journal of Mathematics, 7, 83–103.Citable link to this page:

 

On the 2-part of the Birch-Swinnerton-Dyer conjecture for elliptic curves with complex multiplication

Abstract: Given an elliptic curve E over Q with complex multiplication having good reduction at 2, we investigate the 2-adic valuation of the algebraic part of the L-value at 1 for a family of quadratic twists. In particular, we prove a lower bound for this valuation in terms of the Tamagawa number in a form predicted by the conjecture of Birch and Swinnerton-Dyer.

Publication status:PublishedPeer Review status:Peer reviewedVersion:Publisher's version Funder: National Natural Science Foundation of China   Notes:© Münster Journal of Mathematics 2014

Bibliographic Details

Publisher: Mathematical Institutes of the Universität Münster

Publisher Website: http://wwwmath.uni-muenster.de/

Journal: Münster Journal of Mathematicssee more from them

Publication Website: http://wwwmath.uni-muenster.de/mjm/index.html

Issue Date: 2014-10

pages:83–103Identifiers

Uuid: uuid:603a7a33-8111-4bf6-9175-1b5b2e5dcf6a

Urn: uri:603a7a33-8111-4bf6-9175-1b5b2e5dcf6a

Pubs-id: pubs:396019 Item Description

Type: journal-article;

Version: Publisher's versionKeywords: math.NT math.NT 11G40

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Autor: Coates, J - - - Kim, M - Oxford, MPLS, Mathematical Institute fundingEngineering and Physical Sciences Research Council grantNumb

Fuente: https://ora.ox.ac.uk/objects/uuid:603a7a33-8111-4bf6-9175-1b5b2e5dcf6a



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