Maillet determinants for real abelian number fields and its applications

DOI10.1007/BF03173498zbMath1140.11051OpenAlexW1974276253MaRDI QIDQ2479815

Daisuke Shiomi

Publication date: 3 April 2008

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

Full work available at URL: https://doi.org/10.1007/bf03173498

zbMATH Keywords

class numberMaillet determinantreal abelian field

Mathematics Subject Classification ID

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

Cites Work

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• A note on the Demjanenko matrices related to the cyclotomic \({\mathbb{Z}}_p\)-extension
• A relative class number formula for an imaginary abelian number field by means of Dedekind sum
• On a generalization of the Maillet determinant II
• The Relative Class Numbers of Imaginary Cyclic Fields of Degrees 4, 6, 8 and 10
• A generalization of Maillet and Demyanenko determinants
• Maillet’s determinant
• A generalization of Maillet and Demyanenko determinants for the cyclotomic \(\mathbb Z_p\)-extension

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