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

 

On an algorithm of Billevich for finding units in algebraic fields


Authors: Ray Steiner and Ronald Rudman
Journal: Math. Comp. 30 (1976), 598-609
MSC: Primary 12A45
MathSciNet review: 0404204
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Abstract: The well-known algorithm of Billevich for finding units in algebraic number fields is derived by algebraic methods. Some tables of units in cubic and quartic fields are given.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0025-5718-1976-0404204-8
PII: S 0025-5718(1976)0404204-8
Keywords: Algebraic number field, units, Billevich's algorithm, multiplicative lattices, Cramer's rule, fundamental units
Article copyright: © Copyright 1976 American Mathematical Society