Values of twisted Artin L-functions

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This note gives a simple proof that certain values of Artin's L-function, for a representation ρ with character χρ, are stable under twisting by an even Dirichlet character χ, up to an element generated over Q by the values of χ and χρ, and a product with a power of the Gauss sum τ(χ) equal to the dimension of ρ. This extends a result due to J. Coates and S. Lichtenbaum.