Class number one criteria for real quadratic fields. II

DOI10.3792/PJAA.63.162zbMath0625.12003OpenAlexW4248965308MaRDI QIDQ579314

Richard A. Mollin

Publication date: 1987

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.63.162

zbMATH Keywords

real quadratic fieldsclass number oneRichaud-Degert type

Mathematics Subject Classification ID

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

Related Items (2)

Period four and real quadratic fields of class number one ⋮ On a determination of real quadratic fields of class number one and related continued fraction period length less than 25

Cites Work

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• Class number one criteria for real quadratic fields. I
• Über die Bestimmung der Grundeinheit gewisser reell-quadratischer Zahlkörper
• On the fundamental units and the class numbers of real quadratic fields
• On the Insolubility of a Class of Diophantine Equations and the Nontriviality of the Class Numbers of Related Real Quadratic Fields of Richaud-Degert Type
• Generalized Ono invariant and Rabinovitch’s theorem for real quadratic fields
• On the size of L(1,χ) and S. Chowla's hypothesis implying that L(1,χ)>0 for s>0 and for real characters χ
• Diophantine equations and class numbers

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