{"title":"Counting nilpotent Galois extensions","user_id":"93826","page":"1-26","author":[{"full_name":"Klüners, Jürgen","id":"21202","last_name":"Klüners","first_name":"Jürgen"},{"full_name":"Malle, G.","first_name":"G.","last_name":"Malle"}],"status":"public","publisher":"Walter de Gruyter GmbH","external_id":{"arxiv":["math/0112318"]},"volume":2004,"publication_status":"published","date_updated":"2023-03-06T09:11:16Z","type":"journal_article","intvolume":"      2004","date_created":"2022-12-23T09:50:49Z","publication":"Journal für die reine und angewandte Mathematik (Crelles Journal)","_id":"34895","year":"2006","citation":{"bibtex":"@article{Klüners_Malle_2006, title={Counting nilpotent Galois extensions}, volume={2004}, DOI={<a href=\"https://doi.org/10.1515/crll.2004.050\">10.1515/crll.2004.050</a>}, number={572}, journal={Journal für die reine und angewandte Mathematik (Crelles Journal)}, publisher={Walter de Gruyter GmbH}, author={Klüners, Jürgen and Malle, G.}, year={2006}, pages={1–26} }","chicago":"Klüners, Jürgen, and G. Malle. “Counting Nilpotent Galois Extensions.” <i>Journal Für Die Reine Und Angewandte Mathematik (Crelles Journal)</i> 2004, no. 572 (2006): 1–26. <a href=\"https://doi.org/10.1515/crll.2004.050\">https://doi.org/10.1515/crll.2004.050</a>.","mla":"Klüners, Jürgen, and G. Malle. “Counting Nilpotent Galois Extensions.” <i>Journal Für Die Reine Und Angewandte Mathematik (Crelles Journal)</i>, vol. 2004, no. 572, Walter de Gruyter GmbH, 2006, pp. 1–26, doi:<a href=\"https://doi.org/10.1515/crll.2004.050\">10.1515/crll.2004.050</a>.","short":"J. Klüners, G. Malle, Journal Für Die Reine Und Angewandte Mathematik (Crelles Journal) 2004 (2006) 1–26.","ieee":"J. Klüners and G. Malle, “Counting nilpotent Galois extensions,” <i>Journal für die reine und angewandte Mathematik (Crelles Journal)</i>, vol. 2004, no. 572, pp. 1–26, 2006, doi: <a href=\"https://doi.org/10.1515/crll.2004.050\">10.1515/crll.2004.050</a>.","apa":"Klüners, J., &#38; Malle, G. (2006). Counting nilpotent Galois extensions. <i>Journal Für Die Reine Und Angewandte Mathematik (Crelles Journal)</i>, <i>2004</i>(572), 1–26. <a href=\"https://doi.org/10.1515/crll.2004.050\">https://doi.org/10.1515/crll.2004.050</a>","ama":"Klüners J, Malle G. Counting nilpotent Galois extensions. <i>Journal für die reine und angewandte Mathematik (Crelles Journal)</i>. 2006;2004(572):1-26. doi:<a href=\"https://doi.org/10.1515/crll.2004.050\">10.1515/crll.2004.050</a>"},"publication_identifier":{"issn":["0075-4102","1435-5345"]},"abstract":[{"lang":"eng","text":"We obtain strong information on the asymptotic behaviour of the counting function for nilpotent Galois extensions with bounded discriminant of arbitrary number fields. This extends previous investigations for the case of abelian groups. In particular, the result confirms a conjecture by the second author on this function for arbitrary groups in the nilpotent case. We further prove compatibility of the conjecture with taking wreath products with the cyclic group of order 2 and give examples in degree up to 8. "}],"language":[{"iso":"eng"}],"doi":"10.1515/crll.2004.050","keyword":["Applied Mathematics","General Mathematics"],"department":[{"_id":"102"}],"issue":"572"}