Simultaneous indivisibility of class numbers of pairs of real quadratic fields

DOI10.1007/s11139-021-00456-1zbMath1502.11109arXiv2012.01202OpenAlexW3179771081MaRDI QIDQ2673048

Anupam Saikia, Jaitra Chattopadhyay

Publication date: 13 June 2022

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

Full work available at URL: https://arxiv.org/abs/2012.01202

zbMATH Keywords

class numbersquadratic number fieldsIwasawa \(\lambda \)-invariant

Mathematics Subject Classification ID

Quadratic extensions (11R11) Class numbers, class groups, discriminants (11R29) Iwasawa theory (11R23)

Related Items (3)

Structure of 2-class groups in the \(\mathbb{Z}_2\)-extensions of certain real quadratic fields ⋮ On the \(p\)-ranks of the ideal class groups of imaginary quadratic fields ⋮ On the \(p\)-rationality of consecutive quadratic fields

Cites Work

• Unnamed Item
• Unnamed Item
• A note on class numbers of algebraic number fields
• Über die kleinste quadratfreie Zahl einer arithmetischen Reihe
• Indivisibility of class numbers of imaginary quadratic fields and orders of Tate-Shafarevich groups of elliptic curves with complex multiplication
• On the class number divisibility of pairs of imaginary quadratic fields
• Real quadratic fields with class numbers divisible by \(n\)
• Parametrization of the quadratic fields whose class numbers are divisible by three
• Indivisibility of class numbers of imaginary quadratic fields
• On the divisibility of the class number of quadratic fields
• An infinite family of pairs of imaginary quadratic fields with ideal classes of a given order
• On the number of real quadratic fields with class number divisible by 3
• A short note on the divisibility of class numbers of real quadratic fields
• Elliptic Curves with no Rational Points
• Über die Beziehung der Klassenzahlen quadratischer Körper zueinander.
• Divisibility of Class Numbers of Imaginary Quadratic Fields
• An infinite family of pairs of quadratic fields Q(\sqrt D) and Q(\sqrt mD) whose class numbers are both divisible by 3
• Class numbers of quadratic fields ${\mathbb Q}(\sqrt {D})$ and ${\mathbb Q}(\sqrt {tD})$
• Iwasawa invariants and class numbers of quadratic fields for the prime 3
• On the density of discriminants of cubic fields. II
• On the simultaneous 3-divisibility of class numbers of triples of imaginary quadratic fields

This page was built for publication: Simultaneous indivisibility of class numbers of pairs of real quadratic fields