Name
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. References References 1 V. Acciaro Solvability of norm equations over cyclic number fields of prime degree Math. Comp. 65 1996 1663 1674 2 V. Acciaro J. Klüners Computing automorphisms of Abelian number fields Math. Comput. 68 1999 1179 1186 3 H. Cohen A Course in Computational Algebraic Number Theory 1993 Springer Berlin 4 H. Cohen Hermite and smith normal form algorithms over dedekind domains Math. Comp. 65 1996 1681 1699 5 G. Collins M. Encarnación Efficient rational number reconstruction J. Symb. Comput. 20 1995 287 297 6 M. Daberkow C. Fieker J. Klüners M. Pohst K. Roegner K. Wildanger KANT V4 J. Symb. Comput. 24 1997 267 283 7 C. Fieker, 1997 8 H.W. Lenstra Algorithms in algebraic number theory Bull. Amer. Math. Soc. 26 1992 211 244 9 J. Klüners, 1997 10 S. Lang Algebraic Number Theory, volume 110 of Graduate Texts in Mathematics 1994 Springer 11 J. Neukirch Class Field Theory 1986 Springer Berlin 12 S. Pauli, M. E. Pohst 13 M.E. Pohst H. Zassenhaus Algorithmic Algebraic Number Theory, Encyclopaedia of mathematics and its applications 1989 Cambridge University Press |
Year | DOI | Venue |
|---|---|---|
2000 | 10.1006/jsco.2000.0361 | J. Symb. Comput. |
Keywords | DocType | Volume |
norm equation,Computing local Artin map | Journal | 30 |
Issue | ISSN | Citations |
3 | Journal of Symbolic Computation | 3 |
PageRank | References | Authors |
0.82 | 3 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Vincenzo Acciaro | 1 | 16 | 5.01 |
| JüRgen KlüNers | 2 | 49 | 10.32 |