article Are number fields determined by Artin L-functions? published Jürgen Klüners author 21202 Florin Nicolae author 102 department 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. Elsevier BV2016 eng Algebra and Number Theory Journal of Number Theory 0022-314X 1509.06883 10.1016/j.jnt.2016.03.023 167161-168 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> 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>. @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} } J. Klüners, F. Nicolae, Journal of Number Theory 167 (2016) 161–168. 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>. 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>. 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> 348442022-12-22T10:52:47Z2023-03-06T10:44:22Z