Computing Local Artin Maps, and Solvability of Norm Equations
V. Acciaro, J. Klüners, Journal of Symbolic Computation 30 (2000) 239–252.
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Author
Acciaro, Vincenzo;
Klüners, JürgenLibreCat
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Abstract
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.
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Journal Title
Journal of Symbolic Computation
Volume
30
Issue
3
Page
239-252
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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
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
@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} }
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.
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.
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.
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