A Demjanenko matrix for abelian fields of prime power conductor

DOI10.1006/jnth.1995.1057zbMath0829.11054OpenAlexW2056666006MaRDI QIDQ1892573

Wolfgang Schwarz, Jonathan W. Sands

Publication date: 22 January 1996

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

Full work available at URL: https://doi.org/10.1006/jnth.1995.1057

zbMATH Keywords

upper boundrelative class numberDemyanenko matrixAbelian field of prime power conductor

Mathematics Subject Classification ID

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

Related Items (8)

Stickelberger ideal and signature of circular units ⋮ The relative class number of certain imaginary abelian number fields of odd conductors ⋮ A generalization of the Maillet determinant and the Demyanenko matrix ⋮ 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 ⋮ Computing canonical heights with little (or no) factorization ⋮ A note on the Demjanenko matrices related to the cyclotomic \({\mathbb{Z}}_p\)-extension

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