The regulator spectrum for totally real cubic fields (Q1180713)

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scientific article; zbMATH DE number 29534
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The regulator spectrum for totally real cubic fields
scientific article; zbMATH DE number 29534

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    The regulator spectrum for totally real cubic fields (English)
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    27 June 1992
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    Subject to a mild hypothesis, it is proved that there exists a set of totally real cubic fields, with regulators \(R\) and discriminants \(D\), such that the corresponding numbers \(R/\log^ 2D\) are dense in the interval \([1/16, 1/12]\). The regulator spectrum for the totally real cubic fields is defined.
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    totally real cubic fields
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    regulators
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    discriminants
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    regulator spectrum
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