A characterization of certain real quadratic fields

DOI10.3792/pjaa.62.97zbMath0593.12002OpenAlexW2031663697MaRDI QIDQ1076070

Ryuji Sasaki

Publication date: 1986

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.62.97

zbMATH Keywords

real quadratic fieldclass number oneperiod length of continued fraction expansion

Mathematics Subject Classification ID

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

Related Items (9)

Fundamental units for real quadratic fields determined by continued fraction conditions ⋮ Minorations d’unités fondamentales—applications ⋮ On two conjectures on real quadratic fields ⋮ Lower bounds for fundamental units of real quadratic fields ⋮ Reell-quadratische Zahlkörper mit großer Grundeinheit. (Real- quadratic fields with large fundamental unit) ⋮ Continued fractions and real quadratic fields ⋮ Unnamed Item ⋮ Construction of positive integers with even period of minimal type ⋮ Continued fractions and certain real quadratic fields of minimal type

Cites Work

• On a lower bound for the class number of an imaginary quadratic field
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• Unnamed Item

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