Geodesic
Rational approximations to algebraic numbers
Izvestiya. Mathematics , Tome 5 (1971) no. 5, pp. 1003-1019

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In this article we derive a new effective estimate of rational approximations to algebraic numbers simultaneously in an Archimedian and several non-Archimedian metrics. 
@article{IM2_1971_5_5_a2,
     author = {V. G. Sprindzhuk},
     title = {Rational approximations to algebraic numbers},
     journal = {Izvestiya. Mathematics },
     pages = {1003--1019},
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     volume = {5},
     number = {5},
     year = {1971},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1971_5_5_a2/}
}
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V. G. Sprindzhuk. Rational approximations to algebraic numbers. Izvestiya. Mathematics , Tome 5 (1971) no. 5, pp. 1003-1019. http://geodesic.mathdoc.fr/item/IM2_1971_5_5_a2/