Conjectures sur les dérivées logarithmiques des fonctions L d'Artin aux entiers négatifs

Abstract

We formulate several variants of a conjecture relating the arithmetic degree of certain hermitian fibre bundles with the values of the logarithmic derivative of Artin's L-functions at negative integers. This generalizes conjectures by Colmez and Gross-Deligne and complements Beilinson's conjectures for the Artin motives. We announce several results in the direction of these statements.

AMS-LaTeX, 8 pages, submitted

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