ON THE CLASS NUMBER AND THE FUNDAMENTAL UNIT OF THE REAL QUADRATIC FIELD

DOI10.1017/S0004972711003352zbMath1294.11189OpenAlexW2123091968MaRDI QIDQ2891965

Jae Moon Kim, Jado Ryu

Publication date: 18 June 2012

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972711003352

zbMATH Keywords

class numberreal quadratic fieldfundamental unit

Mathematics Subject Classification ID

Quadratic extensions (11R11) Units and factorization (11R27) Class numbers, class groups, discriminants (11R29)

Related Items

Fundamental units for real quadratic fields determined by continued fraction conditions ⋮ A handy technique for fundamental unit in specific type of real quadratic fields ⋮ Unit groups of maximal orders in totally definite quaternion algebras over real quadratic fields

Cites Work

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• Construction of a certain circular unit and its applications
• Remarks on unit indices of imaginary abelian number fields
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• On bases of groups of circular units of some imaginary abelian number fields
• The class number and fundamental unit of \(Q(\sqrt{2p})\) for \(p=1\) (mod 16) a prime
• On the parity of the class number of a biquadratic field