Relative class numbers inside the \(p\)th cyclotomic field

zbMath1458.11157MaRDI QIDQ2215994

Humio Ichimura

Publication date: 15 December 2020

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

Full work available at URL: https://projecteuclid.org/euclid.ojm/1602230467

zbMATH Keywords

cyclotomic fieldrelative class number

Mathematics Subject Classification ID

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

Related Items (3)

Biographical Sketch of Professor Humio Ichimura ⋮ Relative class numbers of subfields of the \(p\)-th cyclotomic field ⋮ On the class groups of certain imaginary cyclic fields of 2-power degree

Uses Software

• PARI/GP

Cites Work

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• Note on Bernoulli numbers associated to some Dirichlet character of prime conductor
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• The parity of the class number of the cyclotomic fields of prime conductor
• Minus class groups of the fields of the 𝑙-th roots of unity
• On The Relative Class Number of Special Cyclotomic Fields
• Note on the Class Number of the pth Cyclotomic Field, II
• Lower bounds for relative class numbers of imaginary abelian number fields and CM-fields
• A primality test for 𝐾𝑝ⁿ+1 numbers
• Some Prime Numbers of the Forms 2A3 n + 1 and 2A3 n - 1

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