scientific article; zbMATH DE number 1356193

DOI10.1023/A:1001533613223zbMath1002.11080OpenAlexW1552395289MaRDI QIDQ4700353

Ken Ono

Publication date: 16 January 2003

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1001533613223

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zbMATH Keywords

class numberreal quadratic fieldCohen-Lenstra heuristicsfundamental discriminant

Mathematics Subject Classification ID

Quadratic extensions (11R11) Class numbers, class groups, discriminants (11R29) Class numbers of quadratic and Hermitian forms (11E41)

Related Items (12)

Unnamed Item ⋮ Existence of an infinite family of pairs of quadratic fields \(\mathbb{Q}(\sqrt{m_1D})\) and \(\mathbb{Q}(\sqrt{m_2D})\) whose class numbers are both divisible by 3 or both indivisible by 3 ⋮ Simultaneous indivisibility of class numbers of pairs of real quadratic fields ⋮ Covering sumsets of a prime field and class numbers ⋮ On the \(p\)-ranks of the ideal class groups of imaginary quadratic fields ⋮ Half-integral weight modular forms and real quadratic \(p\)-rational fields ⋮ Multi-quadratic \(p\)-rational number fields ⋮ On certain infinite families of imaginary quadratic fields whose Iwasawa λ-invariant is equal to 1 ⋮ A note on the divisibility of class numbers of real quadratic fields. ⋮ A note on the existence of certain infinite families of imaginary quadratic fields. ⋮ Indivisibility of class numbers of real quadratic function fields ⋮ Existence of certain fundamental discriminants and class numbers of real quadratic fields.

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