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

Anthony C. Kable·Akihiko Yukie
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Abstract

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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Anthony C. Kable, Akihiko Yukie. 1999-06-25. The mean vcalue of the product of class numbers of paired quadratic fields I. https://arxiv.org/abs/math/9906174

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