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Exceptional units in a family of quartic number fields
Authors:G Niklasch  N P Smart
Institution:Zentrum Mathematik der TU / SCM, Technische Universität München, D--80290 München, Germany ; Institute of Mathematics and Statistics, University of Kent at Canterbury, Canterbury, Kent, England
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.

Keywords:Exceptional units  Baker's method  diophantine approximation
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