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Demjanenko matrix and 2-divisibility of class numbers

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Publication:1325292
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DOI10.1007/BF01199101zbMath0807.11053MaRDI QIDQ1325292

Wolfgang Schwarz

Publication date: 26 February 1995

Published in: Archiv der Mathematik (Search for Journal in Brave)


zbMATH Keywords

cyclotomic fieldclass numberDemjanenko matrix


Mathematics Subject Classification ID

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


Related Items

A criterion for the parity of the class number of an Abelian field with prime power conductor, On a generalization of the Demjanenko determinant, Formulae for the relative class number of an imaginary abelian field in the form of a determinant, Demjanenko matrix for imaginary abelian fields of odd conductors, Determinantal formula for the special values of the Dedekind zeta function of the cyclotomic field, Computing canonical heights with little (or no) factorization



Cites Work

  • Demjanenko matrix, class number, and Hodge group
  • What is the rank of the Demjanenko matrix ?
  • Unit signatures, and even class numbers, and relative class numbers.
  • Unnamed Item
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