ANOTHER CASE OF A SCHOLZ'S THEOREM ON CLASS GROUPS

DOI10.1142/S1793042108001493zbMath1162.11053OpenAlexW2029322823MaRDI QIDQ3602991

Lingrui Zhang, Qin Yue

Publication date: 12 February 2009

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

Full work available at URL: https://doi.org/10.1142/s1793042108001493

zbMATH Keywords

class groupquartic residues8-rank

Mathematics Subject Classification ID

Quadratic extensions (11R11) Class groups and Picard groups of orders (11R65)

Related Items (1)

On the class group of an imaginary cyclic field of conductor \(8p\) and \(2\)-power degree

Cites Work

• The formula of 8-ranks of tame kernels
• On a theorem of Scholz on the class number of quadratic fields
• On ideal class groups and units in terms of the quadratic form \(x^2+32y^2\)
• On the 4-rank of the tame kernel \(K_2(\mathcal O)\) in positive definite terms

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