8-ranks of class groups of some imaginary quadratic number fields

DOI10.1007/s10114-007-0965-1zbMath1166.11036OpenAlexW2042323533MaRDI QIDQ2477800

Qin Yue, Ximei Wu

Publication date: 14 March 2008

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

Full work available at URL: https://doi.org/10.1007/s10114-007-0965-1

zbMATH Keywords

reciprocity lawclass groupRédei matrix

Mathematics Subject Classification ID

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

Related Items

8-ranks of class groups of quadratic number fields and their densities, The relationship between the nonexistence of generalized bent functions and Diophantine equations

Cites Work

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• The formula of 8-ranks of tame kernels
• On tame kernel and class group in terms of quadratic forms.
• On a theorem of Scholz on the class number of quadratic fields
• On ideal class groups and units in terms of the quadratic form \(x^2+32y^2\)
• Gauss sum of index 4. I: Cyclic case
• Gauss sum of index 4. II: Non-cyclic case
• On 2-Sylow Subgroups of Tame Kernels
• The 4-rank of the tame kernel versus the 4-rank of the narrow class group in quadratic number fields
• Note on primes of type x2 + 32y2, class number, and residuacity.