Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4593165 | Journal of Number Theory | 2016 | 8 Pages |
Abstract
Let k be a number field, K/kK/k a finite Galois extension with Galois group G, χ a faithful character of G. We prove that the Artin L -function L(s,χ,K/k)L(s,χ,K/k) determines the Galois closure of K over QQ. In the special case k=Qk=Q it also determines the character χ.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Jürgen Klüners, Florin Nicolae,