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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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Tables of unit groups and class groups of quintic fields and a regulator bound
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by M. Pohst and K. Wildanger PDF
Math. Comp. 67 (1998), 361-367 Request permission

Abstract:

Using a new regulator bound we determine unit groups and class groups of the 289040 quintic algebraic number fields with absolute discriminant less than $2 \times 10^7$ (totally real fields), respectively $5 \times 10^6$ (other signatures). We list significant data.
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Additional Information
  • M. Pohst
  • Affiliation: Technische Universität Berlin, Fachbereich 3 Mathematik, Sekr. MA 8-1, Straße des 17. Juni 136, D–10623 Berlin, Germany
  • Email: pohst@math.tu-berlin.de
  • K. Wildanger
  • Affiliation: Technische Universität Berlin, Fachbereich 3 Mathematik, Sekr. MA 8-1, Straße des 17. Juni 136, D–10623 Berlin, Germany
  • Email: wildan@math.tu-berlin.de
  • Received by editor(s): November 13, 1995
  • © Copyright 1998 American Mathematical Society
  • Journal: Math. Comp. 67 (1998), 361-367
  • MSC (1991): Primary 11Y40; Secondary 11R27, 11R29
  • DOI: https://doi.org/10.1090/S0025-5718-98-00927-2
  • MathSciNet review: 1451326