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Mathematics of Computation

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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: 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

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

Keywords: Exceptional units, Baker’s method, diophantine approximation
Received by editor(s): October 18, 1996
Article copyright: © Copyright 1998 American Mathematical Society