Note on the class-number of the maximal real subfield of a cyclotomic field

DOI10.1007/BF01169091zbMath0602.12002OpenAlexW3177577719MaRDI QIDQ1081637

Hiroyuki Osada

Publication date: 1987

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/155219

zbMATH Keywords

class numberreal quadratic fieldclass number in the narrow sensereal cyclotomic field

Mathematics Subject Classification ID

Quadratic extensions (11R11) Iwasawa theory (11R23) Cyclotomic extensions (11R18)

Related Items (5)

Pell-type equations and class number of the maximal real subfield of a cyclotomic field ⋮ Note on the class-number of the maximal real subfield of a cyclotomic field, II ⋮ Class groups of real cyclotomic fields ⋮ On the Class-number of the Maximal Real Subfield of a Cyclotomic Field ⋮ On generalized mersenne primes and class-numbers of equivalent quadratic fields and cyclotomic fields

Cites Work

• The Galois groups of the polynomials \(X^ n+aX\ell +b\)
• On unramified Galois extensions of real quadratic number fields
• Calculation of discriminants of high degree equations
• Class numbers of algebraic number fields of Eisenstein type. II
• On unramified Galois extensions of quadratic number fields
• A Lower Bound for the Class Number of Certain Cubic Number Fields
• On the class-number of the maximal real subfield of a cyclotomic field.
• Note on the class-number of the maximal real subfield of a cyclomatic field.
• On the class-number of the maximal real subfield of a cyclotomic field.
• Diophantine equations and class numbers

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