Use of the rabinowitsch polynomial to determine the class groups of a real quadratic field

DOI10.1017/S000497270001354XzbMath0826.11047MaRDI QIDQ4325747

Richard A. Mollin

Publication date: 28 November 1995

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

zbMATH Keywords

real quadratic fieldclass groupRabinowitsch polynomial

Mathematics Subject Classification ID

Quadratic extensions (11R11) Polynomials in number theory (11C08) Class numbers, class groups, discriminants (11R29)

Cites Work

• Continued fractions and real quadratic fields
• Class Numbers of Real Quadratic Fields, Continued Fractions, Reduced Ideals, Prime-Producing Quadratic Polynomials and Quadratic Residue Covers
• On determining certain real quadratic fields with class number one and relating this property to continued fractions and primality properties
• On the Parallel Generation of the Residues for the Continued Fraction Factoring Algorithm
• Applications of a Continued Fraction Algorithm to Some Class Number Problems

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