Continued fractions and Gauss class number problem for real quadratic fields

DOI10.3836/tjm/1342701351zbMath1276.11177OpenAlexW2052508186MaRDI QIDQ447814

Fuminori Kawamoto, Koshi Tomita

Publication date: 29 August 2012

Published in: Tokyo Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.tjm/1342701351

zbMATH Keywords

real quadratic fieldsContinued fractionsYokoi invariant

Mathematics Subject Classification ID

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

Related Items (3)

NECESSARY AND SUFFICIENT CONDITIONS FOR UNIQUE FACTORIZATION IN ℤ[(-1 + √<i>d</i>)/2] ⋮ Prime producing quadratic polynomials associated with real quadratic fields of class-number one ⋮ REAL QUADRATIC FIELDS, CONTINUED FRACTIONS, AND A CONSTRUCTION OF PRIMARY SYMMETRIC PARTS OF ELE TYPE

Cites Work

• Continued fractions with even period and an infinite family of real quadratic fields of minimal type
• Binary quadratic forms. An algorithmic approach
• Continued fractions and certain real quadratic fields of minimal type
• Solving the Pell equation
• Continued fractions and real quadratic fields
• On continued fractions of given period
• New invariants and class number problem in real quadratic fields
• Lower bounds for fundamental units of real quadratic fields
• On determining certain real quadratic fields with class number one and relating this property to continued fractions and primality properties
• Generalization of a theorem of Siegel
• Über die Classenzahl quadratischer Zahlkörper
• THE BRAUER–SIEGEL THEOREM
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