The great theorem of A. A. Markoff and Jean Bernoulli sequences (Q1044654)
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scientific article; zbMATH DE number 5650075
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The great theorem of A. A. Markoff and Jean Bernoulli sequences |
scientific article; zbMATH DE number 5650075 |
Statements
The great theorem of A. A. Markoff and Jean Bernoulli sequences (English)
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18 December 2009
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The author sketches a proof of \textit{A. A. Markoff}\,'s result of 1879/1880 [Math. Ann. 15, 381--407 (1879; JFM 11.0147.01), 17, 379--400 (1880; JFM 12.0143.02)] that the Lagrange spectrum is discrete below 3, with 3 as the only accumulation point. Stress is placed upon Bernoulli sequences, in a manner that can be compared with \textit{S. Yasutomi's} [Acta Arith. 84, No. 4, 337--374 (1998; Zbl 0967.11024)].
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Markoff's algorithm
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the Lagrange spectrum
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continued fractions
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transcendental numbers
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