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Durham e-Theses
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K(_2) and L-series of elliptic curves over real quadratic fields

Young, Michael Alexander (1995) K(_2) and L-series of elliptic curves over real quadratic fields. Doctoral thesis, Durham University.



This thesis examines the relationship between the L-series of an elliptic curve evaluated at s = 2 and the image of the regulator map when the curve is defined over a real quadratic field with narrow class number one, thus providing numerical evidence for Beilinson's conjecture. In doing so it provides a practical formula for calculating the L-series for modular elliptic curves over real quadratic fields, and in outline for more general totally real fields, and also provides numerical evidence for the generalization of the Taniyarna-Weil-Shimura conjecture to real quadratic fields.

Item Type:Thesis (Doctoral)
Award:Doctor of Philosophy
Thesis Date:1995
Copyright:Copyright of this thesis is held by the author
Deposited On:09 Oct 2012 11:47

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