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Title: K₂ and L-series of elliptic curves over real quadratic fields
Author: Young, Michael Alexander
Awarding Body: Durham University
Current Institution: Durham University
Date of Award: 1995
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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.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available
Keywords: Pure mathematics Mathematics