On the divisibility of class numbers of imaginary quadratic fields \((\mathbb{Q}(\sqrt{D}),\mathbb{Q}(\sqrt{D+m}))\)

DOI10.1007/S11139-019-00217-1zbMath1471.11276OpenAlexW3011572152MaRDI QIDQ829840

Jian-Feng Xie, Kuok Fai Chao

Publication date: 6 May 2021

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-019-00217-1

zbMATH Keywords

class numberquadratic fieldideal class group

Mathematics Subject Classification ID

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

Related Items (5)

A note on 3-divisibility of class number of quadratic field ⋮ NOTE ON THE p-DIVISIBILITY OF CLASS NUMBERS OF AN INFINITE FAMILY OF IMAGINARY QUADRATIC FIELDS ⋮ On a conjecture of Iizuka ⋮ On the \(p\)-rationality of consecutive quadratic fields ⋮ Lehmer sequence approach to the divisibility of class numbers of imaginary quadratic fields

Cites Work

• On the class number divisibility of pairs of quadratic fields obtained from points on elliptic curves
• On the class number divisibility of pairs of imaginary quadratic fields
• On unramified Galois extensions of quadratic number fields
• An infinite family of pairs of imaginary quadratic fields with ideal classes of a given order
• 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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