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