On the transcendence and algebraic independence of certain continued fractions (Q1330970)
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scientific article; zbMATH DE number 617399
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the transcendence and algebraic independence of certain continued fractions |
scientific article; zbMATH DE number 617399 |
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On the transcendence and algebraic independence of certain continued fractions (English)
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10 August 1994
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The paper deals with the transcendence and algebraic independence of continued fractions, when certain growth conditions hold. The proofs use approximation properties of continued fractions, Roth's theorem concerning transcendental numbers and Bundschuh's theorem concerning the algebraic independence of limits of sequences.
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transcendence
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algebraic independence
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continued fractions
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