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Licensed Unlicensed Requires Authentication Published by De Gruyter March 10, 2020

Artin L-functions of almost monomial Galois groups

Mircea Cimpoeaş and Florin Nicolae
From the journal Forum Mathematicum


If K/ is a finite Galois extension with an almost monomial Galois group and if s0{1} is not a common zero for any two Artin L-functions associated to distinct complex irreducible characters of the Galois group, then all Artin L-functions of K/ are holomorphic at s0. We present examples and basic properties of almost monomial groups.

MSC 2010: 11R42; 20C15

Communicated by Freydoon Shahidi


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Received: 2019-10-21
Revised: 2020-02-11
Published Online: 2020-03-10
Published in Print: 2020-07-01

© 2020 Walter de Gruyter GmbH, Berlin/Boston

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