A note on 3-divisibility of class number of quadratic field

DOI10.1007/s11401-022-0319-4zbMath1489.11188OpenAlexW4225011404MaRDI QIDQ2133992

Kuok Fai Chao, Jian-Feng Xie

Publication date: 5 May 2022

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11401-022-0319-4

zbMATH Keywords

class numberquadratic fieldHilbert class field

Mathematics Subject Classification ID

Quadratic extensions (11R11) Class numbers, class groups, discriminants (11R29)

Cites Work

• Unnamed Item
• On the divisibility of class numbers of imaginary quadratic fields \((\mathbb{Q}(\sqrt{D}),\mathbb{Q}(\sqrt{D+m}))\)
• On the class number divisibility of pairs of imaginary quadratic fields
• Parametrization of the quadratic fields whose class numbers are divisible by three
• An application of the arithmetic of elliptic curves to the class number problem for quadratic fields
• The Arithmetic of Elliptic Curves
• An infinite family of pairs of quadratic fields Q(\sqrt D) and Q(\sqrt mD) whose class numbers are both divisible by 3

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