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The 4-class ranks of quadratic extensions of certain real quadratic fields. (English) Zbl 0694.12003
Author’s summary: “Let F be a real quadratic extension of \({\mathbb{Q}}\) in which exactly one prime ramifies. Let K be a quadratic extension of F, and let \(R_ K\) denote the 4-class rank of K. We specify how likely it is that \(R_ K=0,1,2,... \). The formulas we obtain are analogous to formulas conjectured by Cohen and Martinet in the prime-to-2 part of the ideal class group of K.”
Reviewer: J.Hinz

MSC:
11R11 Quadratic extensions
11R37 Class field theory
11R23 Iwasawa theory
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References:
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