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

DOI10.1006/jnth.1997.2088zbMath0879.11062OpenAlexW1997969127MaRDI QIDQ1355088

Koshi Tomita

Publication date: 18 January 1998

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jnth.1997.2088

zbMATH Keywords

real quadratic fieldcontinued fraction expansionperiodfundamental unit

Mathematics Subject Classification ID

Quadratic extensions (11R11) Units and factorization (11R27)

Related Items (5)

Unnamed Item ⋮ Continued fractions and certain real quadratic fields of minimal type ⋮ Ankeny-Artin-Chowla conjecture and continued fraction expansion ⋮ Unnamed Item ⋮ A note on the structure of certain real quadratic number fields

Cites Work

• Quadratische Ordnungen mit großer Klassenzahl. (Quadratic orders with large class number)
• Period four and real quadratic fields of class number one
• On a determination of real quadratic fields of class number one and related continued fraction period length less than 25
• Explicit representation of fundamental units of some quadratic fields
• A complete determination of the complex quadratic fields of class-number one
• Real quadratic number fields with large fundamental units
• The class-number of real quadratic number fields
• The fundamental unit and class number one problem of real quadratic fields with prime discriminant
• On the fundamental units and the class numbers of real quadratic fields
• The fundamental unit and bounds for class numbers of real quadratic fields
• Continued fractions of period five and real quadratic fields of class number one
• New invariants and class number problem in real quadratic fields
• Applications of a Continued Fraction Algorithm to Some Class Number Problems

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