---
_id: '34844'
abstract:
- lang: eng
  text: 'Let k be a number field, K/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)
    determines the Galois closure of K over $\ℚ$. In the special case $k=\ℚ$ it also
    determines the character χ. '
author:
- first_name: Jürgen
  full_name: Klüners, Jürgen
  id: '21202'
  last_name: Klüners
- first_name: Florin
  full_name: Nicolae, Florin
  last_name: Nicolae
citation:
  ama: Klüners J, Nicolae F. Are number fields determined by Artin L-functions? <i>Journal
    of Number Theory</i>. 2016;167:161-168. doi:<a href="https://doi.org/10.1016/j.jnt.2016.03.023">10.1016/j.jnt.2016.03.023</a>
  apa: Klüners, J., &#38; Nicolae, F. (2016). Are number fields determined by Artin
    L-functions? <i>Journal of Number Theory</i>, <i>167</i>, 161–168. <a href="https://doi.org/10.1016/j.jnt.2016.03.023">https://doi.org/10.1016/j.jnt.2016.03.023</a>
  bibtex: '@article{Klüners_Nicolae_2016, title={Are number fields determined by Artin
    L-functions?}, volume={167}, DOI={<a href="https://doi.org/10.1016/j.jnt.2016.03.023">10.1016/j.jnt.2016.03.023</a>},
    journal={Journal of Number Theory}, publisher={Elsevier BV}, author={Klüners,
    Jürgen and Nicolae, Florin}, year={2016}, pages={161–168} }'
  chicago: 'Klüners, Jürgen, and Florin Nicolae. “Are Number Fields Determined by
    Artin L-Functions?” <i>Journal of Number Theory</i> 167 (2016): 161–68. <a href="https://doi.org/10.1016/j.jnt.2016.03.023">https://doi.org/10.1016/j.jnt.2016.03.023</a>.'
  ieee: 'J. Klüners and F. Nicolae, “Are number fields determined by Artin L-functions?,”
    <i>Journal of Number Theory</i>, vol. 167, pp. 161–168, 2016, doi: <a href="https://doi.org/10.1016/j.jnt.2016.03.023">10.1016/j.jnt.2016.03.023</a>.'
  mla: Klüners, Jürgen, and Florin Nicolae. “Are Number Fields Determined by Artin
    L-Functions?” <i>Journal of Number Theory</i>, vol. 167, Elsevier BV, 2016, pp.
    161–68, doi:<a href="https://doi.org/10.1016/j.jnt.2016.03.023">10.1016/j.jnt.2016.03.023</a>.
  short: J. Klüners, F. Nicolae, Journal of Number Theory 167 (2016) 161–168.
date_created: 2022-12-22T10:52:47Z
date_updated: 2023-03-06T10:44:22Z
department:
- _id: '102'
doi: 10.1016/j.jnt.2016.03.023
external_id:
  arxiv:
  - '1509.06883 '
intvolume: '       167'
keyword:
- Algebra and Number Theory
language:
- iso: eng
page: 161-168
publication: Journal of Number Theory
publication_identifier:
  issn:
  - 0022-314X
publication_status: published
publisher: Elsevier BV
status: public
title: Are number fields determined by Artin L-functions?
type: journal_article
user_id: '93826'
volume: 167
year: '2016'
...