8-ranks of class groups of quadratic number fields and their densities

DOI10.1007/s10114-011-8273-1zbMath1322.11115OpenAlexW2117159752MaRDI QIDQ475753

Qin Yue

Publication date: 27 November 2014

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-011-8273-1

zbMATH Keywords

class groupunramified extensionquartic residue

Mathematics Subject Classification ID

Class numbers, class groups, discriminants (11R29) Density theorems (11R45)

Related Items (3)

Invariant generalized ideal classes -- structure theorems for \(p\)-class groups in \(p\)-extensions ⋮ 8-rank of the class group and isotropy index ⋮ 2-Class groups of cyclotomic towers of imaginary biquadratic fields and applications

Cites Work

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• Divisibility by 2-powers of certain quadratic class numbers
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• On ideal class groups and units in terms of the quadratic form \(x^2+32y^2\)
• On 2-Sylow Subgroups of Tame Kernels
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• Sur le 2-groupe des classes d'idéaux des corps quadratiques.
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• The 2-Sylow subgroups of the tame kernel of imaginary quadratic fields
• The 4-rank of $K₂O_F$ for real quadratic fields F
• On the 4-rank of tame kernels of quadratic number fields
• Note on primes of type x2 + 32y2, class number, and residuacity.
• On the 4-rank of the tame kernel \(K_2(\mathcal O)\) in positive definite terms

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