Open Access
March 2015 On the special values of Artin $L$-functions for dihedral extensions
Yutaka Konomi
Funct. Approx. Comment. Math. 52(1): 109-116 (March 2015). DOI: 10.7169/facm/2015.52.1.8

Abstract

We study special values of Artin $L$-functions for dihedral extensions at negative integers. We give a relation between these values and orders of the $\chi$-parts of certain étale cohomology groups.

Citation

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Yutaka Konomi. "On the special values of Artin $L$-functions for dihedral extensions." Funct. Approx. Comment. Math. 52 (1) 109 - 116, March 2015. https://doi.org/10.7169/facm/2015.52.1.8

Information

Published: March 2015
First available in Project Euclid: 20 March 2015

zbMATH: 1322.11111
MathSciNet: MR3326127
Digital Object Identifier: 10.7169/facm/2015.52.1.8

Subjects:
Primary: 19F27
Secondary: 11R23

Keywords: $K$-group , Artin $L$-function , Class number , étale cohomology , Iwasawa theory

Rights: Copyright © 2015 Adam Mickiewicz University

Vol.52 • No. 1 • March 2015
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