On a construction of diophantine approximations (Q1908412)
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scientific article; zbMATH DE number 848909
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On a construction of diophantine approximations |
scientific article; zbMATH DE number 848909 |
Statements
On a construction of diophantine approximations (English)
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27 March 1996
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Let \(\psi(z)\) denote the function \(\sum^\infty_{m= 1} {z^m\over m! m}\) and \(w_1,\dots, w_s\) be the distinct nonzero rational numbers with all \(w_j< 1\). The author obtains the effective measures of diophantine approximations for the values of the functions 1, \(e^z\), \(e^{(1- w_j)z}\), \(\psi(z)- \psi((1-w_j) z)\), \(j= 1,\dots, s\) at rational points.
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effective measures of diophantine approximations
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