A note on the algebraic approximation measures (Q2725216)
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scientific article; zbMATH DE number 1618994
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A note on the algebraic approximation measures |
scientific article; zbMATH DE number 1618994 |
Statements
11 February 2003
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transcendence
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algebraic numbers
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A note on the algebraic approximation measures (English)
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In his previous paper [Sci. China, Ser. A 40, No. 8, 825-831 (1997; Zbl 0885.11049)] the author proved the transcendence of a certain number which is approximated by a sequence of algebraic numbers. In the present paper the corresponding quantitative result is given. The Liouville estimation is used essentially. NEWLINENEWLINENEWLINEReviewer's note: The statement of the main result (i.e. Theorem 1) of this paper is not suitable. For example, the definition of the symbol \(\varphi(d,h)\) is not given. Furthermore, in the proof of this theorem the relation \(\varphi(n)= \varphi(d,\log h)\) is also not clear.
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