The Relative Class Numbers of Imaginary Cyclic Fields of Degrees 4, 6, 8 and 10

DOI10.2307/2153259zbMath0787.11046OpenAlexW4239033945MaRDI QIDQ4274403

Kurt Girstmair

Publication date: 13 January 1994

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2153259

zbMATH Keywords

relative class numbercomputational formulaimaginary abelian fieldgeneralized Maillet determinant

Mathematics Subject Classification ID

Class numbers, class groups, discriminants (11R29) Software, source code, etc. for problems pertaining to number theory (11-04) Other abelian and metabelian extensions (11R20)

Related Items (8)

Class number factors and distribution of residues ⋮ The relative class number of certain imaginary abelian number fields of odd conductors ⋮ A generalization of the Maillet determinant and the Demyanenko matrix ⋮ Maillet determinants for real abelian number fields and its applications ⋮ Class numbers of some abelian extensions of rational function fields ⋮ On the cosets of the \(2q\)-power group in the unit group modulo \(p\) ⋮ A note on the Demjanenko matrices related to the cyclotomic \({\mathbb{Z}}_p\)-extension ⋮ Unnamed Item

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