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

DOI10.3792/pjaa.67.20zbMath0743.11062OpenAlexW1998392149MaRDI QIDQ1178763

Richard A. Mollin, Hugh C. Williams

Publication date: 26 June 1992

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.67.20

zbMATH Keywords

real quadratic fieldscontinued fractionclass number oneperiod length

Mathematics Subject Classification ID

Quadratic extensions (11R11) Continued fractions (11A55) Class numbers, class groups, discriminants (11R29)

Related Items (5)

Explicit representation of fundamental units of some real quadratic fields. II ⋮ Prime producing quadratic polynomials and class number one or two ⋮ Continued fractions and certain real quadratic fields of minimal type ⋮ Quadratic Residue Covers for Certain Real Quadratic Fields ⋮ A note on the structure of certain real quadratic number fields

Cites Work

• Class number one criteria for real quadratic fields. I
• Class number one criteria for real quadratic fields. II
• Solution of a problem of Yokoi
• On two conjectures on real quadratic fields
• On prime valued polynomials and class numbers of real quadratic fields
• A Conjecture of S. Chowla Via the Generalized Riemann Hypothesis
• Class numbers and quadratic residues
• On the Parallel Generation of the Residues for the Continued Fraction Factoring Algorithm
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