Note on class number parity of an abelian field of prime conductor

DOI10.5036/mjiu.50.15zbMath1440.11210OpenAlexW2888789334MaRDI QIDQ3121977

Humio Ichimura, Shoichi Fujima

Publication date: 20 March 2019

Published in: Mathematical Journal of Ibaraki University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5036/mjiu.50.15

zbMATH Keywords

computationabelian fieldclass number parity

Mathematics Subject Classification ID

Algebraic number theory computations (11Y40) Class numbers, class groups, discriminants (11R29) Cyclotomic extensions (11R18)

Related Items

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

Cites Work

• Class number of real abelian fields
• Probabilistic algorithm for testing primality
• Riemann's hypothesis and tests for primality
• Computing the number of totally positive circular units which are squares
• On divisibility of class number of real abelian fields of prime conductor
• Triviality of Iwasawa module associated to some abelian fields of prime conductors
• Note on Bernoulli numbers associated to some Dirichlet character of prime conductor
• The 2-Ideal Class Groups of ℚ(ζl)
• An improved Monte Carlo factorization algorithm
• Class Number Parity for the pth Cyclotomic Field
• The parity of the class number of the cyclotomic fields of prime conductor
• Note on the Class Number of the pth Cyclotomic Field, II
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