Imaginary multiquadratic number fields with class group of exponent $3$ and $5$
Authors:
Jürgen Klüners and Toru Komatsu
Journal:
Math. Comp. 90 (2021), 1483-1497
MSC (2020):
Primary 11R29; Secondary 11R11, 11R20, 11Y40
DOI:
https://doi.org/10.1090/mcom/3609
Published electronically:
January 26, 2021
MathSciNet review:
4232232
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Abstract | References | Similar Articles | Additional Information
Abstract: 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:
klueners@math.uni-paderborn.de
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:
komatsu@ma.noda.tus.ac.jp
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.
Article copyright:
© Copyright 2021
American Mathematical Society
