On a theorem of Legendre in the theory of continued fractions (Q1340677)
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scientific article; zbMATH DE number 703937
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On a theorem of Legendre in the theory of continued fractions |
scientific article; zbMATH DE number 703937 |
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On a theorem of Legendre in the theory of continued fractions (English)
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18 December 1994
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The paper investigates refinements on a theorem of Legendre concerning the approximation coefficient of a rational number with respect to a real irrational number. Using the same approach the authors prove a result announced by Fatou in 1904, as well as the analogues of Legendre's theorem for two other types of continued fractions.
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approximation coefficient of a rational number
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analogues of Legendre's theorem
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continued fractions
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0.9397195
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0.92777795
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0.9254039
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0.92129964
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