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The mean value of the product of class numbers of paired quadratic fields, II

The mean value of the product of class numbers of paired quadratic fields, II

Let k be a number field and k˜ a fixed quadratic extension of k. In this paper and its companions, we find the mean value of the product of class numbers and regulators of two quadratic extensions F,F*≠k˜ contained in the biquadratic extensions of k containing k˜.