Continuous interval in the dispersion spectrum (Q1587414)
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scientific article; zbMATH DE number 1533152
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Continuous interval in the dispersion spectrum |
scientific article; zbMATH DE number 1533152 |
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Continuous interval in the dispersion spectrum (English)
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29 January 2001
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The author investigates the dispersion constant \(D(\alpha)\) of sequences \((n\alpha)\) modulo 1, where \(\alpha\) is a given irrational number. This constant is a measure for the denseness of these sequences. In the present paper a real number \(c\) has been found above which the dispersion spectrum (i.e. the set of values \(D(\alpha)\)) is continuous. Furthermore, a simple proof of an inequality by V. Drobot is given.
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dispersion constant
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0.8428954
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0.80881965
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0.80531645
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