Transcendence of some continued fractions in the formal power series fields. (Q1887471)
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scientific article; zbMATH DE number 2119110
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Transcendence of some continued fractions in the formal power series fields. |
scientific article; zbMATH DE number 2119110 |
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Transcendence of some continued fractions in the formal power series fields. (English)
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26 November 2004
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A result going back to Maillet and a generalization due to Baker assert that irrational numbers whose continued fraction expansion has ``large'' repetitions of partial quotients must be either transcendental or quadratic. The author gives similar results in the case of formal Laurent series over a field of positive characteristic.
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formal power series
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continued fraction expansion
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transcendence
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large repetitions
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