Geodesic
Estimates of the number of zeros of some functions with algebraic Taylor coefficients
Matematičeskie zametki, Tome 61 (1997) no. 6, pp. 817-824 
A. I. Galochkin. Estimates of the number of zeros of some functions with algebraic Taylor coefficients. Matematičeskie zametki, Tome 61 (1997) no. 6, pp. 817-824. http://geodesic.mathdoc.fr/item/MZM_1997_61_6_a2/
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     author = {A. I. Galochkin},
     title = {Estimates of the number of zeros of some functions with algebraic {Taylor} coefficients},
     journal = {Matemati\v{c}eskie zametki},
     pages = {817--824},
     year = {1997},
     volume = {61},
     number = {6},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1997_61_6_a2/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

We prove two theorems about the number of zeros of analytic functions from certain classes that include the Siegel $E$-and $G$-functions. By using these theorems, we arrive at a new proof of the Gel'fond-Schneider theorem and improve the result that the numerical determinant does not vanish in the proof of the Shidlovskii theorem.

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