The class numbers of some imaginary quadratic fields and a class of Diophantine equations

zbMATH Open0971.11526MaRDI QIDQ2742276

Zhenfu Cao

Publication date: 20 September 2001

Published in: Journal of Harbin Institute of Technology (Search for Journal in Brave)

zbMATH Keywords

class numberimaginary quadratic fieldsexponential Diophantine equations

Mathematics Subject Classification ID

Quadratic extensions (11R11) Class numbers, class groups, discriminants (11R29) Exponential Diophantine equations (11D61)

Related Items (6)

On the divisibility of class numbers of imaginary quadratic fields \((\mathbb{Q}(\sqrt{D}),\mathbb{Q}(\sqrt{D+m}))\) ⋮ A diophantine equation concerning the divisibility of the class number for some imaginary quadratic fields ⋮ New formulas for the class number of imaginary quadratic fields ⋮ Diophantine equations and class numbers of real quadratic fields ⋮ Title not available (Why is that?) ⋮ Class number formulae for imaginary quadratic number fields \(\mathbb{Q} (\sqrt{-n})\) with \(n\) squarefree and \(n\equiv 1\pmod 4\) or \(n\equiv 2\pmod 4\)

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