A note on the divisibility of class numbers of real quadratic fields.

DOI10.1006/jnth.2001.2773zbMath1036.11057OpenAlexW1964284037MaRDI QIDQ1867419

Gang Yu

Publication date: 2 April 2003

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jnth.2001.2773

zbMATH Keywords

quadratic fieldsclass numbersbinary forms

Mathematics Subject Classification ID

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

Related Items (13)

Hilbert’s Irreducibility Theorem andideal class groups of quadratic fields ⋮ Imaginary quadratic fields with noncyclic ideal class groups ⋮ On the divisibility of class numbers of quadratic fields and the solvability of Diophantine equations ⋮ On the \(p\)-ranks of the ideal class groups of imaginary quadratic fields ⋮ EXPONENTS OF CLASS GROUPS OF REAL QUADRATIC FIELDS ⋮ Exponents of class groups of real quadratic function fields (II) ⋮ Ideal class groups, Hilbert's irreducibility theorem, and integral points of bounded degree on curves ⋮ A Geometric Approach to Large Class Groups: A Survey ⋮ Class groups of quadratic fields of 3-rank at least 2: effective bounds ⋮ Imaginary quadratic fields with class groups of 3-rank at least 2 ⋮ Real quadratic fields with class number divisible by 5 or 7 ⋮ Quadratic fields with noncyclic 5- or 7-class groups ⋮ Infinite families of class groups of quadratic fields with 3-rank at least one: quantitative bounds

Cites Work

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• Real quadratic fields with class numbers divisible by \(n\)
• On unramified Galois extensions of quadratic number fields
• On the divisibility of the class number of quadratic fields
• POWER-FREE VALUES OF BINARY FORMS
• Divisibility of Class Numbers of Imaginary Quadratic Fields
• On the density of discriminants of cubic fields. II

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