The mean vcalue of the product of class numbers of paired quadratic fields I

Details The mean vcalue of the product of class numbers of paired quadratic fields I The mean vcalue of the product of class numbers of paired quadratic fields I

1999-06-25

arxiv.org/abs/math/9906174v1

Mathematics

Number Theory

66 pages

Scientific paper

Let $k$ be a number field and $\tilde k$ a fixed quadratic extension of $k$.
In this paper and its companion, we find the mean value of the product of class
numbers and regulators of two quadratic extensions $F,F^*\not=\tilde k$
contained in the biquadratic extensions of $k$ containing $\tilde k$.

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