The regulator spectrum for totally real cubic fields

T. W. Cusick

doi:10.1007/BF01297340

The regulator spectrum for totally real cubic fields

T. W. Cusick

Mathematics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

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/log²D are dense in the interval [1/16, 1/12].

Original language	English
Pages (from-to)	217-220
Number of pages	4
Journal	Monatshefte fur Mathematik
Volume	112
Issue number	3
DOIs	https://doi.org/10.1007/BF01297340
State	Published - Sep 1991

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abstract = "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/log2D are dense in the interval [1/16, 1/12].",

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PY - 1991/9

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AB - 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/log2D are dense in the interval [1/16, 1/12].

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DO - 10.1007/BF01297340

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JO - Monatshefte fur Mathematik

JF - Monatshefte fur Mathematik

IS - 3

ER -

The regulator spectrum for totally real cubic fields

Abstract

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