Necessary and Sufficient Conditions for the Class Number of a Real Quadratic Field to be One, and a Conjecture of S. Chowla

DOI10.2307/2046022zbMath0673.12005OpenAlexW4234372040MaRDI QIDQ3826655

Richard A. Mollin

Publication date: 1988

Full work available at URL: https://doi.org/10.2307/2046022

zbMATH Keywords

class number one problemreal quadratic number fieldprime valued polynomial

Mathematics Subject Classification ID

Quadratic extensions (11R11) Class numbers, class groups, discriminants (11R29) Primes represented by polynomials; other multiplicative structures of polynomial values (11N32)

Related Items (6)

Quadratic irrationals with fixed period length in the continued fraction expansion ⋮ Class number one criteria for real quadratic fields. I ⋮ On the divisor function and class numbers of real quadratic fields. II ⋮ The Rabinowitsch-Mollin-Williams theorem revisited ⋮ A Conjecture of S. Chowla Via the Generalized Riemann Hypothesis ⋮ Some results connected with the class number problem in real quadratic fields

Cites Work

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• Über die Bestimmung der Grundeinheit gewisser reell-quadratischer Zahlkörper
• On Euler's polynomial
• A complete determination of the complex quadratic fields of class-number one
• On the Insolubility of a Class of Diophantine Equations and the Nontriviality of the Class Numbers of Related Real Quadratic Fields of Richaud-Degert Type
• Lower Bounds for Class Numbers of Real Quadratic Fields
• On a criterion for the class number of a quadratic number field to be one
• Class numbers and quadratic residues
• Some remarks on L-functions and class numbers
• Diophantine equations and class numbers

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