Hasse's class number product formula for generalized Dirichlet fields and other types of number fields
type: Item
instance of: scholarly article
title: Hasse's class number product formula for generalized Dirichlet fields and other types of number fields
zbMATH Open document ID: 0779.11051
DOI: 10.1007/BF02567768
author: Ruth I. Berger
published in: Manuscripta Mathematica
publication date: 1993-06-29T00:00:00Z
full work available at URL: https://eudml.org/doc/155761
review text: The author extends Hasse's classical class number formula for biquadratic number fields to biquadratic dicyclic extensions over a totally real base field, which has odd class number, only one dyadic prime and units with independent signs. The proofs use the cohomological device of the ``exact hexagon'' developed by \textit{P. E. Conner} and \textit{J. Hurrelbrink} in ``Class number parity'' (Pure Math. Ser. 8) (1988; Zbl 0743.11061).
Mathematics Subject Classification ID: 11R29
Mathematics Subject Classification ID: 11R70
Mathematics Subject Classification ID: 11R21
zbMATH DE Number: 219910
zbMATH Keywords: class number
zbMATH Keywords: biquadratic dicyclic extensions
reviewed by: Manfred Kolster
MaRDI profile type: Publication
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OpenAlex ID: W2009040116
description: scientific article; zbMATH DE number 219910