Hasse's class number product formula for generalized Dirichlet fields and other types of number fields

DOI10.1007/BF02567768zbMath0779.11051OpenAlexW2009040116MaRDI QIDQ1803005

Ruth I. Berger

Publication date: 29 June 1993

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/155761

zbMATH Keywords

class numberbiquadratic dicyclic extensions

Mathematics Subject Classification ID

Other number fields (11R21) Class numbers, class groups, discriminants (11R29) (K)-theory of global fields (11R70)

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CLASS NUMBER FORMULAS FOR CERTAIN BICYCLIC BIQUADRATIC NUMBER FIELDS AS FINITE SUMS INVOLVING JACOBI ELLIPTIC FUNCTIONS ⋮ Deconstruction of a Dirichlet-Nazimow formula ⋮ A new regulator of Gross type

Cites Work

• Remarks on unit indices of imaginary abelian number fields
• Quadratic extensions with elementary abelian \(K_ 2(O)\)
• Über Den Bizyklischen Biquadratischen Zahlkörper
• Über die Klassenzahlen algebraischer Zahlkörper
• Über die Beziehung der Klassenzahlen der Unterkörper des bizyklischen bizuadratischen Zahlkörpers
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