On the divisor function and class numbers of real quadratic fields. II

DOI10.3792/pjaa.66.274zbMath0723.11052OpenAlexW4255990954MaRDI QIDQ757472

Richard A. Mollin

Publication date: 1990

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.66.274

zbMATH Keywords

class numberlower boundsreal quadratic fieldsdivisor functionnarrow Richaud-Degert type

Mathematics Subject Classification ID

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

Related Items (2)

On the divisor function and class numbers of real quadratic fields. III ⋮ On the divisor function and class numbers of real quadratic fields. IV

Cites Work

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• Class number one criteria for real quadratic fields. I
• On the divisor function and class numbers of real quadratic fields. I
• Quadratische Ordnungen mit großer Klassenzahl. (Quadratic orders with large class number)
• Solution of a problem of Yokoi
• Continued fractions and number-theoretic computations
• On the fundamental units and the class numbers of real quadratic fields. II
• Class number one problem for real quadratic fields. (The conjecture of Gauss)
• On the fundamental unit of real quadratic fields with norm 1
• The fundamental unit and class number one problem of real quadratic fields with prime discriminant
• 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
• Necessary and Sufficient Conditions for the Class Number of a Real Quadratic Field to be One, and a Conjecture of S. Chowla
• Class numbers and quadratic residues
• On the Parallel Generation of the Residues for the Continued Fraction Factoring Algorithm
• On Real Quadratic Fields Containing Units with Norm -1
• Diophantine equations and class numbers

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