Lower Bounds for Class Numbers of Real Quadratic Fields

DOI10.2307/2046301zbMath0591.12007OpenAlexW4235903769MaRDI QIDQ3718799

Richard A. Mollin

Publication date: 1986

Full work available at URL: https://doi.org/10.2307/2046301

zbMATH Keywords

class numberreal quadratic fieldsquadratic diophantine equationRichaud-Degert typedivisibility of class numberYokoi type

Mathematics Subject Classification ID

Quadratic extensions (11R11) Quadratic and bilinear Diophantine equations (11D09) Iwasawa theory (11R23)

Related Items (12)

Continued fractions and real quadratic fields ⋮ On class numbers of quadratic extensions of algebraic number fields ⋮ Quadratische Ordnungen mit großer Klassenzahl. (Quadratic orders with large class number) ⋮ Effective lower bound for the class number of a certain family of real quadratic fields ⋮ On the divisor function and class numbers of real quadratic fields. III ⋮ Lower bound for the class number of \(\mathbb{Q} (\sqrt{n^2+4})\) ⋮ Lower Bounds for Class Numbers of Real Quadratic and Biquadratic Fields ⋮ On the divisor function and class numbers of real quadratic fields. I ⋮ A necessary and sufficient condition for \(k=\mathbb{Q}\left ( \sqrt{4 n^2 + 1}\right)\) to have class number \(\omega\left( n\right)+c \) ⋮ Some results connected with the class number problem in real quadratic fields ⋮ Necessary and Sufficient Conditions for the Class Number of a Real Quadratic Field to be One, and a Conjecture of S. Chowla ⋮ Lower bound for class numbers of certain real quadratic fields

Cites Work

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• Über die Bestimmung der Grundeinheit gewisser reell-quadratischer Zahlkörper
• On the cyclotomic polynomial
• On the fundamental unit of real quadratic fields with norm 1
• On Real Quadratic Fields Containing Units with Norm -1
• Corrigenda
• Diophantine equations and class numbers

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