On the factorization of the relative class number in terms of Frobenius divisions

DOI10.1007/BF01301529zbMath0802.11044MaRDI QIDQ1314861

Kurt Girstmair

Publication date: 15 December 1994

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/178625

zbMATH Keywords

class numberabelian number fielddecompositonfirst Bernoulli numberFrobenius division

Mathematics Subject Classification ID

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

Cites Work

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• Dirichlet convolution of cotangent numbers and relative class number formulas
• An index formula for the relative class number of an abelian number field
• Größencharaktere und Relativklassenzahl abelscher Zahlkörper
• Connection between the arithmetic properties of generalized Bernoulli numbers