Mathematics of Computation

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A Fast algorithm to compute cubic fields

Author(s): K. Belabas.
Journal: Math. Comp. 66 (1997), 1213-1237.
MSC (1991): Primary 11R16, 11Y40
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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: 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
Copyright of article: Copyright 1997, American Mathematical Society


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