Geodesic
A new application of $p$-adic analysis to representation of numbers by
Izvestiya. Mathematics , Tome 4 (1970) no. 5, pp. 1043-1069

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An effective method is given for constructing bounds for unknowns in representations of numbers by binary forms. The arguments are based on bounds of linear forms in the logarithms of algebraic numbers in various metrics (archimedian and non-archimedian). 
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     author = {V. G. Sprindzhuk},
     title = {A new application of $p$-adic analysis to representation of numbers by},
     journal = {Izvestiya. Mathematics },
     pages = {1043--1069},
     publisher = {mathdoc},
     volume = {4},
     number = {5},
     year = {1970},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1970_4_5_a4/}
}
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V. G. Sprindzhuk. A new application of $p$-adic analysis to representation of numbers by. Izvestiya. Mathematics , Tome 4 (1970) no. 5, pp. 1043-1069. http://geodesic.mathdoc.fr/item/IM2_1970_4_5_a4/