## 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 contribution | Poles of Artin L-functions and the strong Artin conjecture |
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Original language | English |

Pages (from-to) | 1089 - 1098 |

Number of pages | 10 |

Journal | Annals of Mathematics |

Volume | 158 (3) |

Publication status | Published - Nov 2003 |

### Bibliographical note

Publisher: Johns Hopkins University PressOther identifier: IDS number 774EX

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