Riv.Mat.Univ.Parma (7) 3* (2004)


Zagier's conjectures on special values of L-functions

Pages: 165-176
Received: 5 February 2004   
Revised: 16 November 2004
Mathematics Subject Classification (2000): 19F27

Abstract: A conjecture of Zagier links special values of Dedekind zeta functions to special values of polylogarithms. In this article we give a short account of recent results towards this conjecture. We also describe its analogue for the special value L(E,2), where E is an elliptic curve over Q. Finally we discuss the possibility of replacing E by a smooth projective curve over Q.

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