Article ID Journal Published Year Pages File Type
4593165 Journal of Number Theory 2016 8 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
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