Continued fractions and certain real quadratic fields of minimal type

DOI10.2969/jmsj/06030865zbMath1151.11057OpenAlexW2033640939MaRDI QIDQ945892

Fuminori Kawamoto, Koshi Tomita

Publication date: 18 September 2008

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2969/jmsj/06030865

zbMATH Keywords

class numbercontinued fractionsreal quadratic fieldsYokoi invariant

Mathematics Subject Classification ID

Quadratic extensions (11R11) Units and factorization (11R27) Continued fractions (11A55) Class numbers, class groups, discriminants (11R29)

Related Items (8)

Fundamental units for real quadratic fields determined by continued fraction conditions ⋮ On some properties of partial quotients of the continued fraction expansion of \(\sqrt{d}\) with even period ⋮ A handy technique for fundamental unit in specific type of real quadratic fields ⋮ Continued fractions and Gauss class number problem for real quadratic fields ⋮ Construction of positive integers with even period of minimal type ⋮ A Lower Bound for the Class Number of Certain Real Quadratic Fields ⋮ Distribution of Class Numbers in Continued Fraction Families of Real Quadratic Fields ⋮ REAL QUADRATIC FIELDS, CONTINUED FRACTIONS, AND A CONSTRUCTION OF PRIMARY SYMMETRIC PARTS OF ELE TYPE

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