The relative class number of certain imaginary abelian number fields of odd conductors

DOI10.3792/pjaa.72.64zbMath0862.11062OpenAlexW1985210081WikidataQ114023241 ScholiaQ114023241MaRDI QIDQ1924885

Akira Endo

Publication date: 26 May 1997

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.72.64

zbMATH Keywords

cyclotomic fieldsclass number formulaDemyanenko matrix

Mathematics Subject Classification ID

Class numbers, class groups, discriminants (11R29) Other abelian and metabelian extensions (11R20)

Cites Work

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• On the Stickelberger ideal of (2,\dots, 2)-extensions of a cyclotomic number field
• On Maillet determinant
• The relative class numbers of certain imaginary abelian number fields and determinants
• Demjanenko matrix, class number, and Hodge group
• The relative class number of certain imaginary abelian fields
• On the Stickelberger ideal and the circular units of a cyclotomic field
• On the cosets of the \(2q\)-power group in the unit group modulo \(p\)
• Demjanenko matrix for imaginary abelian fields of odd conductors
• A Demjanenko matrix for abelian fields of prime power conductor
• On the First Factor of the Class Number of a Cyclotomic Field
• The Relative Class Numbers of Imaginary Cyclic Fields of Degrees 4, 6, 8 and 10
• On the l-divisibility of the relative class number of certain cyclic number fields
• Maillet’s determinant

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