Heuristics and related results on class groups of real quadratic fields

DOI10.1007/BF02879027zbMath0961.11039MaRDI QIDQ1297609

Xianke Zhang, Lawrence C. Washington

Publication date: 8 May 2000

Published in: Science in China. Series A (Search for Journal in Brave)

zbMATH Keywords

class numberreal quadratic fieldclass groupdivisibilityCohen-Lenstra heuristicspotential element

Mathematics Subject Classification ID

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

Cites Work

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• Class numbers of cyclotomic fields
• The determination of subgroups in ideal class groups of real quadratic fields
• Criteria of class number \(h(K) =1\) for real quadratic number fields
• Modification of Cohen-Lenstra heuristics for ideal class groups and numbers of certain real quadratic fields
• Ideal class groups and their subgroups of real quadratic fields
• A quadratic field of prime discriminant requiring three generators for its class group, and related theory

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