Deninger's conjecture on L-function of elliptic curves at s=3
Abstract
I compute explicitly the regulator map on K4(X) for an arbitrary curve X over a number field. Using this and Beilinson's theorem about regulators for modular curves ([B2]) I prove a formula expressing the value of the L-function L(E,s) of a modular elliptic curve E over Q at s=3 by the double Eisenstein-Kronecker series.
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