Czechoslovak Mathematical Journal

, Volume 67, Issue 2, pp 551–555

On critical values of twisted Artin L-functions

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Abstract

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.

Keywords

Artin L-function character Galois Gauss sum special value 

MSC 2010

11F67 11F80 11L05 11M06 

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References

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Copyright information

© Institute of Mathematics of the Academy of Sciences of the Czech Republic, Praha, Czech Republic 2017

Authors and Affiliations

  1. 1.Department of Mathematics and StatisticsQueen’s University, Jeffery HallKingstonCanada

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