Remote Access Mathematics of Computation
Green Open Access

Mathematics of Computation

ISSN 1088-6842(online) ISSN 0025-5718(print)



On the computation of totally real quartic fields of small discriminant

Authors: Johannes Buchmann and David Ford
Journal: Math. Comp. 52 (1989), 161-174
MSC: Primary 11R16; Secondary 11Y40
MathSciNet review: 946599
Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: All totally real quartic fields of discriminant less than $ {10^6}$ are computed. The method used to generate the fields is derived from Delone and Faddeev, with corrections and improvements. A new method for deciding field isomorphism is used to eliminate redundant examples. Integral bases and Galois groups are given for each field.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Mathematics of Computation with MSC: 11R16, 11Y40

Retrieve articles in all journals with MSC: 11R16, 11Y40

Additional Information

Article copyright: © Copyright 1989 American Mathematical Society

American Mathematical Society