The class number one problem for some non-abelian normal CM-fields of degree 24
type: Item
instance of: scholarly article
title: The class number one problem for some non-abelian normal CM-fields of degree 24
zbMATH Open document ID: 1010.11063
author: Franz Lemmermeyer
author: Stéphane Louboutin
author: Ryotaro Okazaki
published in: Journal de Théorie des Nombres de Bordeaux
publication date: 2000-04-03T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/224728
Mathematics Subject Classification ID: 11R29
Mathematics Subject Classification ID: 11R21
Mathematics Subject Classification ID: 11Y40
zbMATH DE Number: 1426378
zbMATH Keywords: nonabelian normal CM-fields
zbMATH Keywords: class number one
zbMATH Keywords: Galois group
describes a project that uses: KANT/KASH
describes a project that uses: PARI/GP
MaRDI profile type: Publication
OpenAlex ID: W2323709746
cites work: Classnumbers and unit signatures
cites work: Sur les extensions de groupe de Galois Ã₄
cites work: Q3139838
cites work: Tables of octic fields with a quartic subfield
cites work: Q3140236
cites work: KANT V4
cites work: Über den 2-Klassenkörperturm eines quadratischen Zahlkörpers. I.
cites work: Q3677835
cites work: Q3874309
cites work: Ideal class groups of cyclotomic number fields I
cites work: Unramified quaternion extensions of quadratic number fields
cites work: Dihedral CM fields with class number one
cites work: Determination of all non-normal quartic CM-fields and of all non-abelian normal octic CM-fields with class number one
cites work: The Class Number One Problem for Some Non-Abelian Normal CM-Fields of 2-Power Degrees
cites work: The class number one problem for some non-abelian normal CM-fields
cites work: Lower Bounds for Relative Class Numbers of CM-Fields
cites work: Explicit upper bounds of the residue at the point 1 of zeta functions of certain number fields
cites work: The class number one problem for the non-abelian normal CM-fields of degree 16
cites work: Upper Bounds on |L(1, χ)| and Applications
cites work: Inclusion of CM-fields and divisibility ofrelative class numbers
cites work: Determination of all imaginary abelian sextic number fields with class number ≤ 11
cites work: Dyadic exercises for octahedral extensions
cites work: Some effective cases of the Brauer-Siegel theorem
cites work: Q3882616
cites work: Q3943047
cites work: Exercices dyadiques
DOI: 10.5802/JTNB.257
description: scientific article; zbMATH DE number 1426378