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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

 

A Fast algorithm to compute cubic fields


Author: K. Belabas
Journal: Math. Comp. 66 (1997), 1213-1237
MSC (1991): Primary 11R16, 11Y40
MathSciNet review: 1415795
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Abstract: We present a very fast algorithm to build up tables of cubic fields. Real cubic fields with discriminant up to $10^{11}$ and complex cubic fields down to $-10^{11}$ have been computed.


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Additional Information

K. Belabas
Affiliation: Département de Mathématiques (A2X), Université Bordeaux I, 351, cours de la Libération, 33405 Talence, France
Address at time of publication: Max-Plank-Institut für Mathematik, Gottfried-Claren-str. 26, 53.225 Bonn, Germany
Email: belabas@math.u-bordeaux.fr

DOI: http://dx.doi.org/10.1090/S0025-5718-97-00846-6
PII: S 0025-5718(97)00846-6
Keywords: Cubic fields, computations
Received by editor(s): February 2, 1996
Received by editor(s) in revised form: June 5, 1996
Article copyright: © Copyright 1997 American Mathematical Society