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On critical values of twisted Artin L -functions

Peng-Jie Wong (2017)

Czechoslovak Mathematical Journal

We give a simple proof that critical values of any Artin L -function attached to a representation ρ with character χ ρ 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 χ ρ and χ over . This extends a result of Coates and Lichtenbaum as well as the previous work of Ward.

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