Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4594930 | Journal of Number Theory | 2008 | 4 Pages |
Abstract
Let K/Q be a finite Galois extension, and let s0≠1 be a complex number. We prove that the multiplicative semigroup of Artin L-functions in K/Q which are holomorphic at s0 is finitely generated. We obtain a criterion for Artin's conjecture and we discuss the case of icosahedral extensions.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory