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Exact order of approximation of real numbers by algebraic numbers - MaRDI portal

Exact order of approximation of real numbers by algebraic numbers (Q1594419)

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scientific article; zbMATH DE number 1557723
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English
Exact order of approximation of real numbers by algebraic numbers
scientific article; zbMATH DE number 1557723

    Statements

    Exact order of approximation of real numbers by algebraic numbers (English)
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    28 January 2001
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    The content is essentially the same as in another paper by the author [Acta Arith. 90, 97-112 (1999; Zbl 0937.11027)]. Reviewer's remark: The inequality in Zbl 0937.11027 should be \(|x-\alpha|<H(\alpha)^{-n}\Psi(H(\alpha)).\)
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    metric theory
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    measure
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    infinitely/finitely many solutions
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    approximation by algebraic numbers having a fixed degree
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