Geodesic
Estimates for the orders of zeros of functions of a~certain class and applications in the theory of transcendental numbers
Izvestiya. Mathematics , Tome 11 (1977) no. 2, pp. 239-270

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By the use of estimates for the multiplicities of the zeros of polynomials in certain fixed functions, an estimate is proved for the measure of algebraic independence of the values of the functions which is effective in the degree and height. Bibliography: 10 titles. 
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     author = {Yu. V. Nesterenko},
     title = {Estimates for the orders of zeros of functions of a~certain class and applications in the theory of transcendental numbers},
     journal = {Izvestiya. Mathematics },
     pages = {239--270},
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     volume = {11},
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     year = {1977},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1977_11_2_a1/}
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Yu. V. Nesterenko. Estimates for the orders of zeros of functions of a~certain class and applications in the theory of transcendental numbers. Izvestiya. Mathematics , Tome 11 (1977) no. 2, pp. 239-270. http://geodesic.mathdoc.fr/item/IM2_1977_11_2_a1/