Computation of Real Quadratic Fields with Class Number One

DOI10.2307/2008780zbMath0699.12006OpenAlexW4230923807MaRDI QIDQ3476906

Alisa J. Stephens, Hugh C. Williams

Publication date: 1988

Full work available at URL: https://doi.org/10.2307/2008780

zbMATH Keywords

algorithmgeneralized Riemann hypothesisreal quadratic fieldregulatorclass number one

Mathematics Subject Classification ID

Quadratic extensions (11R11) Algebraic number theory computations (11Y40) Class numbers, class groups, discriminants (11R29)

Related Items (5)

The continued fraction algorithm and regulator for quadratic function fields of characteristic 2 ⋮ Calcul du nombre de classes d'un corps quadratique imaginaire ou réel, d'après Shanks, Williams, McCurley, A. K. Lenstra et Schnorr ⋮ Approximating Euler products and class number computation in algebraic function fields ⋮ Maximal unramified extensions of imaginary quadratic number fields of small conductors ⋮ Computation of class numbers of quadratic number fields

Cites Work

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• Class numbers of cyclotomic fields
• A Note on Class-Number One in Certain Real Quadratic and Pure Cubic Fields
• Some Computational Results on a Problem Concerning Powerful Numbers
• A Computational Technique for Evaluating L(1, χ) and the Class Number of a Real Quadratic Field
• On the Parallel Generation of the Residues for the Continued Fraction Factoring Algorithm

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