Applications of a Continued Fraction Algorithm to Some Class Number Problems

DOI10.2307/2005834zbMath0275.12007OpenAlexW4255486786MaRDI QIDQ5183593

Michael D. Hendy

Publication date: 1974

Full work available at URL: https://doi.org/10.2307/2005834

Mathematics Subject Classification ID

Quadratic extensions (11R11) Units and factorization (11R27) Iwasawa theory (11R23)

Related Items (9)

Explicit representation of fundamental units of some real quadratic fields. II ⋮ Reell-quadratische Zahlkörper mit großer Grundeinheit. (Real- quadratic fields with large fundamental unit) ⋮ Class number one problem for a family of real quadratic fields ⋮ The Jacobi-Perron Algorithm in Integer Form ⋮ Use of the rabinowitsch polynomial to determine the class groups of a real quadratic field ⋮ Quadratische Ordnungen mit großer Klassenzahl. (Quadratic orders with large class number) ⋮ Continued fractions and certain real quadratic fields of minimal type ⋮ Some periodic continued fraction expansions and fundamental units of quadratic orders ⋮ The Distribution of Ideal Class Numbers of Real Quadratic Fields

Cites Work

• On the Conjecture of Hardy & Littlewood concerning the Number of Primes of the Form n 2 + a
• Some number-theoretic calculations
• On Gauss's Class Number Problems
• Integer Sequence having Prescribed Quadratic Character
• Unnamed Item
• Unnamed Item

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