On divisibility of class number of real abelian fields of prime conductor

DOI10.1007/BF02941333zbMath0788.11052MaRDI QIDQ1313450

Stanislav Jakubec

Publication date: 6 February 1994

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

zbMATH Keywords

class numberabelian extensionscyclotomic unitsdivisibility

Mathematics Subject Classification ID

Units and factorization (11R27) Class numbers, class groups, discriminants (11R29) Other abelian and metabelian extensions (11R20)

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Cites Work

• Unnamed Item
• Unnamed Item
• On the parity of the class number of the field of q-th roots of unity
• On the Stickelberger ideal and the circular units of an abelian field
• Computing the number of totally positive circular units which are squares
• Über die analytische Klassenzahlformel für reelle abelsche Zahlkörper.