Are number fields determined by Artin L-functions?
J. Klüners, F. Nicolae, Journal of Number Theory 167 (2016) 161–168.
Download
No fulltext has been uploaded.
Journal Article
| Published
| English
Author
Klüners, JürgenLibreCat;
Nicolae, Florin
Department
Abstract
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.
Keywords
Publishing Year
Journal Title
Journal of Number Theory
Volume
167
Page
161-168
ISSN
LibreCat-ID
Cite this
Klüners J, Nicolae F. Are number fields determined by Artin L-functions? Journal of Number Theory. 2016;167:161-168. doi:10.1016/j.jnt.2016.03.023
Klüners, J., & Nicolae, F. (2016). Are number fields determined by Artin L-functions? Journal of Number Theory, 167, 161–168. https://doi.org/10.1016/j.jnt.2016.03.023
@article{Klüners_Nicolae_2016, title={Are number fields determined by Artin L-functions?}, volume={167}, DOI={10.1016/j.jnt.2016.03.023}, journal={Journal of Number Theory}, publisher={Elsevier BV}, author={Klüners, Jürgen and Nicolae, Florin}, year={2016}, pages={161–168} }
Klüners, Jürgen, and Florin Nicolae. “Are Number Fields Determined by Artin L-Functions?” Journal of Number Theory 167 (2016): 161–68. https://doi.org/10.1016/j.jnt.2016.03.023.
J. Klüners and F. Nicolae, “Are number fields determined by Artin L-functions?,” Journal of Number Theory, vol. 167, pp. 161–168, 2016, doi: 10.1016/j.jnt.2016.03.023.
Klüners, Jürgen, and Florin Nicolae. “Are Number Fields Determined by Artin L-Functions?” Journal of Number Theory, vol. 167, Elsevier BV, 2016, pp. 161–68, doi:10.1016/j.jnt.2016.03.023.
arXiv 
Google Scholar