On Demjanenko's matrix and Maillet's determinant for imaginary abelian number fields

DOI10.1006/JNTH.1996.0113zbMath0866.11063OpenAlexW2074985198MaRDI QIDQ1924212

Hirofumi Tsumura

Publication date: 24 November 1996

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

Full work available at URL: https://semanticscholar.org/paper/66fcce0d09d07c70e2d2b064d369fa275e2d97ee

zbMATH Keywords

imaginary abelian fieldDemjanenko's matrixMaillet's determinantupper bound for the relative class number

Mathematics Subject Classification ID

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

Related Items (6)

A generalization of the Maillet determinant and the Demyanenko matrix ⋮ Letter to the editor ⋮ On a generalization of the Demjanenko determinant ⋮ Formulae for the relative class number of an imaginary abelian field in the form of a determinant ⋮ A generalization of Maillet and Demyanenko determinants for the cyclotomic \(\mathbb Z_p\)-extension ⋮ A note on the Demjanenko matrices related to the cyclotomic \({\mathbb{Z}}_p\)-extension

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