Poles of Artin L-functions and the strong Artin conjecture

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Abstract

We show that if the L-function of an irreducible 2-dimensional complex Galois representation over Q is not automorphic then it has infinitely many poles. In particular, the Artin conjecture for a single representation implies the corresponding strong Artin conjecture.
Translated title of the contributionPoles of Artin L-functions and the strong Artin conjecture
Original languageEnglish
Pages (from-to)1089 - 1098
Number of pages10
JournalAnnals of Mathematics
Volume158 (3)
Publication statusPublished - Nov 2003

Bibliographical note

Publisher: Johns Hopkins University Press
Other identifier: IDS number 774EX

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