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Zagier's conjecture on $L(E,2)$

A. B. Goncharov·A. M. Levin
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Abstract

In this paper we introduce an elliptic analog of the Bloch-Suslin complex and prove that it (essentially) computes the weight two parts of the groups $K_2(E)$ and $K_1(E)$ for an elliptic curve $E$ over an arbitrary field $k$. Combining this with the results of Bloch and Beilinson we proved Zagier's conjecture on $L(E,2)$ for modular elliptic curves over $\Bbb Q$.

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BibTeXRIS

A. B. Goncharov, A. M. Levin. 1997-06-15. Zagier's conjecture on $L(E,2)$. https://arxiv.org/abs/alg-geom/9508008

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