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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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Imaginary multiquadratic number fields with class group of exponent $3$ and $5$
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by Jürgen Klüners and Toru Komatsu HTML | PDF
Math. Comp. 90 (2021), 1483-1497 Request permission


In this paper we obtain a complete list of imaginary $n$-quadratic fields with class groups of exponent $3$ and $5$ under extended Riemann hypothesis for every positive integer $n$ where an $n$-quadratic field is a number field of degree $2^n$ represented as the composite of $n$-quadratic fields.
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Additional Information
  • Jürgen Klüners
  • Affiliation: Institut für Mathematik, Universität Paderborn, Warburger Str. 100, 33098 Paderborn, Germany
  • ORCID: 0000-0001-6825-307X
  • Email:
  • Toru Komatsu
  • Affiliation: Faculty of Science and Technology, Department of Mathematics, Tokyo University of Science, 2641 Yamazaki, Noda-shi, Chiba-ken 278-8510, Japan
  • MR Author ID: 673966
  • Email:
  • Received by editor(s): May 6, 2020
  • Received by editor(s) in revised form: September 14, 2020
  • Published electronically: January 26, 2021
  • Additional Notes: The research was done during a sabbatical of the second author at Paderborn University.
  • © Copyright 2021 American Mathematical Society
  • Journal: Math. Comp. 90 (2021), 1483-1497
  • MSC (2020): Primary 11R29; Secondary 11R11, 11R20, 11Y40
  • DOI:
  • MathSciNet review: 4232232