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Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

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

The 2020 MCQ for Mathematics of Computation is 1.78.

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Exceptional units in a family of quartic number fields
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by G. Niklasch and N. P. Smart PDF
Math. Comp. 67 (1998), 759-772 Request permission


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:
  • 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:,
  • Received by editor(s): October 18, 1996
  • © Copyright 1998 American Mathematical Society
  • Journal: Math. Comp. 67 (1998), 759-772
  • MSC (1991): Primary 11D61, 11R27, 11J86, 11J25
  • DOI:
  • MathSciNet review: 1464147