The relative class numbers of certain imaginary abelian number fields and determinants

DOI10.1016/0022-314X(90)90048-VzbMath0695.12004MaRDI QIDQ909710

Akira Endo

Publication date: 1990

Published in: Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

\(\chi \) -irregularity of primeMailet's determinantrelative class numbers

Mathematics Subject Classification ID

Iwasawa theory (11R23) Cyclotomic extensions (11R18)

Related Items (4)

The relative class number of certain imaginary abelian number fields of odd conductors ⋮ A generalization of the Maillet determinant and the Demyanenko matrix ⋮ A recursion formula for the relative class number of the \(p^ n\)-th cyclotomic field ⋮ Formulae for the relative class number of an imaginary abelian field in the form of a determinant

Cites Work

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• The Fermat equation over quadratic fields
• The relative class number of certain imaginary abelian fields
• Generalized Bernoulli Numbers and m-Regular Primes
• Maillet’s determinant

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