Geodesic
On approximating the roots of some transcendental equations
Matematičeskie zametki, Tome 7 (1970) no. 2, pp. 203-209 Cet article a éte moissonné depuis la source Math-Net.Ru

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A study is made of an approximation by means of algebraic numbers of fixed degree of the roots of the equation $P(z, a^z)=0$, $a\in \mathbf{A}$, $a\ne0; 1$, where $P(x, y)$ is a polynomial with integral rational coefficients. 
@article{MZM_1970_7_2_a7,
     author = {A. A. Shmelev},
     title = {On approximating the roots of some transcendental equations},
     journal = {Matemati\v{c}eskie zametki},
     pages = {203--209},
     year = {1970},
     volume = {7},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1970_7_2_a7/}
}
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A. A. Shmelev. On approximating the roots of some transcendental equations. Matematičeskie zametki, Tome 7 (1970) no. 2, pp. 203-209. http://geodesic.mathdoc.fr/item/MZM_1970_7_2_a7/