A theorem on transcendence of infinite series. II (Q1612524)
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scientific article; zbMATH DE number 1787787
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A theorem on transcendence of infinite series. II |
scientific article; zbMATH DE number 1787787 |
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A theorem on transcendence of infinite series. II (English)
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25 August 2002
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The main result of this paper is a criterion for transcendental series consisting of reciprocal natural numbers. The proof is based on Roth's theorem. Some applications for generalised Fibonacci and Lucas numbers are included. For Part I, see Rocky Mt. J. Math. 30, 1111-1120 (2000; Zbl 0972.11063).
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infinite series
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transcendental number
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generalised Fibonacci and Lucas numbers
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0.9523153
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0.9242743
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0.92387336
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0.9193976
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0.8837403
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0.8837348
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