On the class number one problem for non-normal quartic CM-fields

DOI10.2748/tmj/1178225798zbMath0796.11050OpenAlexW2035335806MaRDI QIDQ1326956

Stéphane R. Louboutin

Publication date: 29 September 1994

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178225798

zbMATH Keywords

Dedekind zeta functiondiscriminantsrelative class numberclass number oneCM-fieldreal quadratic number fielddihedral octic number fieldnon-normal quartic subfields

Mathematics Subject Classification ID

Quadratic extensions (11R11) Class numbers, class groups, discriminants (11R29) Zeta functions and (L)-functions of number fields (11R42)

Related Items (6)

Unnamed Item ⋮ Unnamed Item ⋮ Class-number problems for cubic number fields ⋮ The CM class number one problem for curves of genus 2 ⋮ The class number one problem for some non-normal CM-fields of degree \(2p\) ⋮ The non-normal quartic CM-fields and the octic dihedral CM-fields with relative class number two

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• Über die Beziehung der Klassenzahlen der Unterkörper des bizyklischen bizuadratischen Zahlkörpers

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