Period four and real quadratic fields of class number one

DOI10.3792/pjaa.65.89zbMath0705.11058OpenAlexW2092304547MaRDI QIDQ917590

Richard A. Mollin, Hugh C. Williams

Publication date: 1989

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.65.89

zbMATH Keywords

real quadratic fieldcontinued fraction expansionclass number oneprime-producing quadratic polynomialsRabinowitsch criterion

Mathematics Subject Classification ID

Quadratic extensions (11R11) Continued fractions (11A55) Class numbers, class groups, discriminants (11R29) Primes represented by polynomials; other multiplicative structures of polynomial values (11N32)

Related Items (1)

Explicit representation of fundamental units of some real quadratic fields. II

Cites Work

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• Class number one criteria for real quadratic fields. I
• Class number one criteria for real quadratic fields. II
• Über die Bestimmung der Grundeinheit gewisser reell-quadratischer Zahlkörper
• On class numbers of quadratic extensions of algebraic number fields
• Quadratic Non-Residues and Prime-Producing Polynomials
• 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
• Class Numbers of Quadratic Fields Determined by Solvability of Diophantine Equations
• On prime valued polynomials and class numbers of real quadratic fields
• Lower Bounds for Class Numbers of Real Quadratic and Biquadratic Fields
• A Conjecture of S. Chowla Via the Generalized Riemann Hypothesis
• Diophantine equations and class numbers

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