Transcendence of some continued fractions in the formal power series fields. (Q1887471)

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scientific article; zbMATH DE number 2119110
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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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