On the Class-number of the Maximal Real Subfield of a Cyclotomic Field

DOI10.2989/16073606.2016.1188864zbMath1423.11190OpenAlexW2478043959MaRDI QIDQ5236037

Helen K. Saikia, Azizul Hoque

Publication date: 15 October 2019

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2989/16073606.2016.1188864

zbMATH Keywords

class numberreal quadratic fieldmaximal real subfield of cyclotomic field

Mathematics Subject Classification ID

Quadratic extensions (11R11) Class numbers, class groups, discriminants (11R29) Cyclotomic extensions (11R18)

Related Items (4)

Pell-type equations and class number of the maximal real subfield of a cyclotomic field ⋮ A NOTE ON CERTAIN REAL QUADRATIC FIELDS WITH CLASS NUMBER UP TO THREE ⋮ Some criteria for class numbers to be non-one ⋮ Partial Dedekind Zeta Values and Class Numbers of R–D Type Real Quadratic Fields

Cites Work

• Note on the class-number of the maximal real subfield of a cyclotomic field
• On a family of quadratic fields whose class numbers are divisible by five
• Real quadratic fields with class number divisible by 3
• Real quadratic fields with class numbers divisible by \(n\)
• On generalized mersenne primes and class-numbers of equivalent quadratic fields and cyclotomic fields
• Real quadratic fields with class number divisible by 5 or 7
• On the Class-Number of the Maximal Real Subfield of a Cyclotomic Field
• 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.

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