Are number fields determined by Artin L-Functions ?

Juergen Klueners; Florin Nicolae

Are number fields determined by Artin L-Functions ?

Number Theory 2016-04-01 v3

Authors: Juergen Klueners , Florin Nicolae

Abstract

Let $k$ be a number field, $K/k$ a finite Galois extension with Galois group $G$ , $\chi$ a faithful character of $G$ . We prove that the Artin L-function $L(s,\chi,K/k)$ determines the Galois closure of $K$ over $\Q$ . In the special case $k=\Q$ it also determines the character $\chi$ .

Keywords

galois theory

Cite

@article{arxiv.1509.06883,
  title  = {Are number fields determined by Artin L-Functions ?},
  author = {Juergen Klueners and Florin Nicolae},
  journal= {arXiv preprint arXiv:1509.06883},
  year   = {2016}
}

Comments

7 pages, change of title

Related papers

View all related →