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In the first part of this text, we define motivic Artin L-fonctions via amotivic Euler product, and show that they coincide with the analogous functionsintroduced by Dhillon and Minac. In the second part, we define under someassumptions a motivic Tamagawa number and show that it specializes to theTamagawa number introduced by Peyre in the context of Manin's conjectures aboutrational points of bounded height on Fano varieties.

Fonctions L d'Artin et nombre de Tamagawa motiviques