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 contribution||Poles of Artin L-functions and the strong Artin conjecture|
|Pages (from-to)||1089 - 1098|
|Number of pages||10|
|Journal||Annals of Mathematics|
|Publication status||Published - Nov 2003|
Bibliographical notePublisher: Johns Hopkins University Press
Other identifier: IDS number 774EX