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

 

Exceptional units in a family of
quartic number fields


Authors: G. Niklasch and N. P. Smart
Journal: Math. Comp. 67 (1998), 759-772
MSC (1991): Primary 11D61, 11R27, 11J86, 11J25
MathSciNet review: 1464147
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Abstract | References | Similar Articles | Additional Information

Abstract: We determine all exceptional units among the elements of certain groups of units in quartic number fields. These groups arise from a one-parameter family of polynomials with two real roots.


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Additional Information

G. Niklasch
Affiliation: Zentrum Mathematik der TU / SCM, Technische Universität München, D–80290 München, Germany
Email: nikl@mathematik.tu-muenchen.de

N. P. Smart
Affiliation: Institute of Mathematics and Statistics, University of Kent at Canterbury, Canterbury, Kent, England
Address at time of publication: Hewlett-Packard Laboratories, Fitton Road, Stoke Gifford, Bristol, BS12 6QZ, United Kingdom
Email: N.P.Smart@ukc.ac.uk, nsma@hplb.hpl.hp.com

DOI: http://dx.doi.org/10.1090/S0025-5718-98-00958-2
PII: S 0025-5718(98)00958-2
Keywords: Exceptional units, Baker's method, diophantine approximation
Received by editor(s): October 18, 1996
Article copyright: © Copyright 1998 American Mathematical Society