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

A. B. Goncharov; A. M. Levin

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

alg-geom 2008-02-03 v4 Algebraic Geometry

Authors: A. B. Goncharov , A. M. Levin

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 $\Bbb Q$ .

Keywords

elliptic curves modular forms conjectures and proofs

Cite

@article{arxiv.alg-geom/9508008,
  title  = {Zagier's conjecture on $L(E,2)$},
  author = {A. B. Goncharov and A. M. Levin},
  journal= {arXiv preprint arXiv:alg-geom/9508008},
  year   = {2008}
}

Comments

this is the final version of our paper LaTeX

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