On the class number of a real abelian field of prime conductor

DOI10.4064/aa191111-19-11zbMath1480.11144OpenAlexW3165131649MaRDI QIDQ5156873

Humio Ichimura

Publication date: 12 October 2021

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/aa191111-19-11

zbMATH Keywords

conductorclass numberMahler measureIwasawa main conjecturereal abelian field

Mathematics Subject Classification ID

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

Related Items (2)

Biographical Sketch of Professor Humio Ichimura ⋮ Indivisibility of the class number of a real abelian field of prime conductor

Cites Work

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• Class number of real abelian fields
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• An application of the \(p\)-adic class number formula
• Triviality of Iwasawa module associated to some abelian fields of prime conductors
• Note on class number parity of an abelian field of prime conductor. II
• Triviality in ideal class groups of Iwasawa-theoretical abelian number fields
• Note on class number parity of an abelian field of prime conductor
• Ideal Class Groups of Iwasawa-Theoretical Abelian Extensions Over the Rational Field
• L-functions and the class number of cyclotomic fields
• Note on the Class Number of the pth Cyclotomic Field, II

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