Poles of Artin L-functions and the strong Artin conjecture
نویسندگان
چکیده
منابع مشابه
Poles of Artin L - functions and the strong Artin
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. Introduction Let ρ : Gal(Q/Q) → GLn(C) be an irreducible continuous representation of the absolute Galois group of Q. Brauer [2]...
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ژورنال
عنوان ژورنال: Annals of Mathematics
سال: 2003
ISSN: 0003-486X
DOI: 10.4007/annals.2003.158.1089