Abstract
This note gives a simple proof that certain values of Artin’s L-function, for a representation ρ with character χ ρ , are stable under twisting by an even Dirichlet character χ, up to the dim(ρ)th power of the Gauss sum τ(χ) and an element generated over \({\mathbb{Q}}\) by the values of χ and χ ρ . This extends a result due to J. Coates and S. Lichtenbaum.
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Dedicated to the memory of Paul J. Sally, Jr.
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Ward, K. Values of twisted Artin L-functions. Arch. Math. 103, 285–290 (2014). https://doi.org/10.1007/s00013-014-0692-7
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DOI: https://doi.org/10.1007/s00013-014-0692-7