Geodesic
Estimate of a linear form in the values of some functions
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 5 (1982), pp. 14-17 
V. G. Chirskii. Estimate of a linear form in the values of some functions. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 5 (1982), pp. 14-17. http://geodesic.mathdoc.fr/item/VMUMM_1982_5_a3/
@article{VMUMM_1982_5_a3,
     author = {V. G. Chirskii},
     title = {Estimate of a linear form in the values of some functions},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {14--17},
     year = {1982},
     number = {5},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_1982_5_a3/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

We establish effective lower bounds for a linear form in the values at distinct algebraic points of the functions \begin{align} f_k(z)&=\sum_{n=1}^\infty\frac1{((n-1)!)^mn^k}\biggl(\frac{{}'z}m\biggr)^{mn}, \quad k=1,\dots,m-1,\notag\\ f_m=(z)&=\sum_{n=0}^\infty\frac1{(n!)^m}\biggl(\frac{z}m\biggr)^{mn}. \notag \end{align}