{"language":[{"iso":"eng"}],"keyword":["Algebra and Number Theory"],"external_id":{"arxiv":["1509.06883 "]},"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. "}],"publication":"Journal of Number Theory","title":"Are number fields determined by Artin L-functions?","date_created":"2022-12-22T10:52:47Z","publisher":"Elsevier BV","year":"2016","department":[{"_id":"102"}],"user_id":"93826","_id":"34844","status":"public","type":"journal_article","doi":"10.1016/j.jnt.2016.03.023","volume":167,"author":[{"first_name":"Jürgen","full_name":"Klüners, Jürgen","id":"21202","last_name":"Klüners"},{"first_name":"Florin","full_name":"Nicolae, Florin","last_name":"Nicolae"}],"date_updated":"2023-03-06T10:44:22Z","intvolume":"       167","page":"161-168","citation":{"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>","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>.","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} }","short":"J. Klüners, F. Nicolae, Journal of Number Theory 167 (2016) 161–168.","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>.","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>.","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>"},"publication_identifier":{"issn":["0022-314X"]},"publication_status":"published"}