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Generalizations of Girstmair's formulas

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Publication:2581045
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DOI10.1007/BF02942037zbMath1185.11066MaRDI QIDQ2581045

Mikihito Hirabayashi

Publication date: 10 January 2006

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


zbMATH Keywords

determinantrelative class numberimaginary abelian number fielddigit expression


Mathematics Subject Classification ID

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


Related Items (1)

A certain character twisted average value of the digits of rational numbers and the class numbers of imaginary quadratic fields




Cites Work

  • Unnamed Item
  • Demjanenko matrix, class number, and Hodge group
  • Formulae for the relative class number of an imaginary abelian field in the form of a determinant
  • The digits of 1/p in connection with class number factors
  • A generalization of Maillet and Demyanenko determinants
  • Maillet’s determinant
  • Introduction to number theory




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