Explicit representation of fundamental units of some quadratic fields

DOI10.3792/pjaa.71.41zbMath0831.11058OpenAlexW1980779199MaRDI QIDQ1898242

Koshi Tomita

Publication date: 18 February 1996

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.71.41

zbMATH Keywords

real quadratic fieldscontinued fraction expansionfundamental units

Mathematics Subject Classification ID

Quadratic extensions (11R11) Units and factorization (11R27) Continued fraction calculations (number-theoretic aspects) (11Y65)

Related Items (10)

Unnamed Item ⋮ Unnamed Item ⋮ Fundamental units for real quadratic fields determined by continued fraction conditions ⋮ Lower bounds for fundamental units of real quadratic fields ⋮ Explicit representation of fundamental units of some real quadratic fields. II ⋮ On Yokoi’s Invariants and the Ankeny–Artin–Chowla conjecture ⋮ A handy technique for fundamental unit in specific type of real quadratic fields ⋮ New bounds for the fundamental units and class numbers of real quadratic fields ⋮ Unnamed Item ⋮ A note on the structure of certain real quadratic number fields

Cites Work

• 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
• New invariants and class number problem in real quadratic fields

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