MAGMA Computational Algebra System

Bibliography

Bai96

Georg Baier.
Zum Round 4 Algorithmus.
Diplomarbeit, Technische Universität Berlin, 1996.
http://www.math.tu-berlin.de/~kant/publications/diplom/baier.ps.gz.

Coh93

Henri Cohen.
A Course in Computational Algebraic Number Theory, volume 138 of Graduate Texts in Mathematics.
Springer, Berlin--Heidelberg--New York, 1993.

Coh00

Henri Cohen.
Advanced Topics in Computational Number Theory.
Springer, Berlin--Heidelberg--New York, 2000.

Fie97

Claus Fieker.
Über relative Normgleichungen in algebraischen Zahlkörpern.
Dissertation, Technische Universität Berlin, 1997.
http://www.math.tu-berlin.de/~kant/publications/diss/diss_CF.ps.gz.

Fri97

Carsten Friedrichs.
Berechnung relativer Ganzheitsbasen mit dem Round-2-Algorithmus.
Diplomarbeit, Technische Universität Berlin, 1997.
http://www.math.tu-berlin.de/~kant/publications/diplom/friedrichs.ps.gz.

Gar80

Dennis A. Garbanati.
An Algorithm for finding an algebraic number whose norm is a given rational number.
J. reine angew. Math., 316:1--13, 1980.

KAN97

KANT Group.
KANT V4.
J. Symbolic Comp., 24(3--4):267--383, 1997.

KAN00

KANT Group.
The Number Theory Package KANT/KASH.
http://www.math.tu-berlin.de/~kant, 2000.

Pau01

Sebastian Pauli.
Factoring polynomials over local fields.
Journal of Symbolic Computation, 32(5):533--547, 2001.

Poh93

M. Pohst.
Computational Algebraic Number Theory.
DMV Seminar Band 21. Birkhäuser Verlag, Basel - Boston - Berlin, 1993.

PZ89

Michael E. Pohst and Hans Zassenhaus.
Algorithmic Algebraic Number Theory.
Encyclopaedia of mathematics and its applications. Cambridge University Press, Cambridge, 1989.

Sim02

Denis Simon.
Solving norm equations in relative number fields using S-units.
Math. Comput., 71(239):1287--1305, 2002.

Tra76

Barry M. Trager.
Algebraic factoring and rational function integration.
In R.D. Jenks, editor, Proc. SYMSAC '76, pages 196--208. ACM press, 1976.