A recursion formula for the relative class number of the \(p^ n\)-th cyclotomic field

DOI10.1007/BF02950757zbMath0747.11046MaRDI QIDQ1187141

Kurt Girstmair

Publication date: 28 June 1992

Published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg (Search for Journal in Brave)

zbMATH Keywords

cyclotomic fieldrelative class numberStickelberger ideal

Mathematics Subject Classification ID

Class numbers, class groups, discriminants (11R29) Cyclotomic extensions (11R18)

Related Items (1)

Demjanenko matrix and recursion formula for relative class number over function fields.

Cites Work

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• Dirichlet convolution of cotangent numbers and relative class number formulas
• The relative class numbers of certain imaginary abelian number fields and determinants
• The relative class number of certain imaginary abelian fields
• An index formula for the relative class number of an abelian number field
• On the Stickelberger ideal and the circular units of an abelian field
• A class number formula for cyclotomic fields
• Another proof of Iwasawa's class number formula
• A Table of the First Factor for Prime Cyclotomic Fields
• Maillet’s determinant

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