{"title":"Computing Local Artin Maps, and Solvability of Norm Equations","date_updated":"2023-03-06T09:57:34Z","language":[{"iso":"eng"}],"department":[{"_id":"102"}],"keyword":["Computational Mathematics","Algebra and Number Theory"],"type":"journal_article","issue":"3","user_id":"93826","_id":"34901","status":"public","year":"2000","doi":"10.1006/jsco.2000.0361","volume":30,"publisher":"Elsevier BV","abstract":[{"text":"Let L = K(α) be an Abelian extension of degree n of a number field K, given by the minimal polynomial of α over K. We describe an algorithm for computing the local Artin map associated with the extension L / K at a finite or infinite prime v of K. We apply this algorithm to decide if a nonzero a ∈ K is a norm from L, assuming that L / K is cyclic.","lang":"eng"}],"publication_identifier":{"issn":["0747-7171"]},"publication_status":"published","intvolume":" 30","date_created":"2022-12-23T09:58:48Z","citation":{"mla":"Acciaro, Vincenzo, and Jürgen Klüners. “Computing Local Artin Maps, and Solvability of Norm Equations.” Journal of Symbolic Computation, vol. 30, no. 3, Elsevier BV, 2000, pp. 239–52, doi:10.1006/jsco.2000.0361.","ama":"Acciaro V, Klüners J. Computing Local Artin Maps, and Solvability of Norm Equations. Journal of Symbolic Computation. 2000;30(3):239-252. doi:10.1006/jsco.2000.0361","apa":"Acciaro, V., & Klüners, J. (2000). Computing Local Artin Maps, and Solvability of Norm Equations. Journal of Symbolic Computation, 30(3), 239–252. https://doi.org/10.1006/jsco.2000.0361","ieee":"V. Acciaro and J. Klüners, “Computing Local Artin Maps, and Solvability of Norm Equations,” Journal of Symbolic Computation, vol. 30, no. 3, pp. 239–252, 2000, doi: 10.1006/jsco.2000.0361.","bibtex":"@article{Acciaro_Klüners_2000, title={Computing Local Artin Maps, and Solvability of Norm Equations}, volume={30}, DOI={10.1006/jsco.2000.0361}, number={3}, journal={Journal of Symbolic Computation}, publisher={Elsevier BV}, author={Acciaro, Vincenzo and Klüners, Jürgen}, year={2000}, pages={239–252} }","short":"V. Acciaro, J. Klüners, Journal of Symbolic Computation 30 (2000) 239–252.","chicago":"Acciaro, Vincenzo, and Jürgen Klüners. “Computing Local Artin Maps, and Solvability of Norm Equations.” Journal of Symbolic Computation 30, no. 3 (2000): 239–52. https://doi.org/10.1006/jsco.2000.0361."},"author":[{"first_name":"Vincenzo","last_name":"Acciaro","full_name":"Acciaro, Vincenzo"},{"id":"21202","first_name":"Jürgen","last_name":"Klüners","full_name":"Klüners, Jürgen"}],"publication":"Journal of Symbolic Computation","page":"239-252"}