Poles of Artin L-functions and the strong Artin conjecture

• 成果类型: Article
• 署名作者: Booker, AR
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2003.158.1089
• 发表日期: 2003
• 页码: 1089-1098
• 关键词: automorphic forms; REPRESENTATIONS; gl(3)

摘要

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.