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Mathematics of Computation

Published by the American Mathematical Society, the Mathematics of Computation (MCOM) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

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

The 2020 MCQ for Mathematics of Computation is 1.98.

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On the computation of unit groups and class groups of totally real quartic fields
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by J. Buchmann, M. Pohst and J. von Schmettow PDF
Math. Comp. 53 (1989), 387-397 Request permission

Abstract:

In this paper we describe the computation of a system of fundamental units and of the class group for each totally real quartic field $\mathcal {F}$ of discriminant less than ${10^6}$. Generating equations, integral bases, and the Galois groups for all those fields were recently given by Buchmann and Ford.
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Additional Information
  • © Copyright 1989 American Mathematical Society
  • Journal: Math. Comp. 53 (1989), 387-397
  • MSC: Primary 11Y40; Secondary 11R16, 11R27, 11R80
  • DOI: https://doi.org/10.1090/S0025-5718-1989-0970698-1
  • MathSciNet review: 970698