Reprint: On relations between the number \(e\) and Liouville numbers (1930) (Q1996491)
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scientific article; zbMATH DE number 7317807
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Reprint: On relations between the number \(e\) and Liouville numbers (1930) |
scientific article; zbMATH DE number 7317807 |
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Reprint: On relations between the number \(e\) and Liouville numbers (1930) (English)
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5 March 2021
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Summary: In this paper, for any Liouville number \(u\), it is shown that \(e\) and \(u\) are algebraically independent, where \(e\) is Euler's number -- the base of the natural logarithm. Reprint of the author's paper [Math. Z. 31, 729--732 (1930; JFM 56.0188.01)].
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algebraic independence
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number \(e\)
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Liouville numbers
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0.7963564991950989
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0.7821822762489319
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0.7708273530006409
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