On critical values of twisted Artin L-functions
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We give a simple proof that critical values of any Artin L-function attached to a representation ϱ with character χϱ are stable under twisting by a totally even character χ, up to the dim ϱ-th power of the Gauss sum related to χ and an element in the field generated by the values of χϱ and χ over ℚ. This extends a result of Coates and Lichtenbaum as well as the previous work of Ward.
KeywordsArtin L-function character Galois Gauss sum special value
MSC 201011F67 11F80 11L05 11M06
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