Abstract
Let F be a real quadratic extension of 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. In this paper 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.
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