Geodesic
Arithmetic properties of the values of a class of analytic functions
Sbornik. Mathematics, Tome 14 (1971) no. 3, pp. 329-357 
M. S. Nurmagomedov. Arithmetic properties of the values of a class of analytic functions. Sbornik. Mathematics, Tome 14 (1971) no. 3, pp. 329-357. http://geodesic.mathdoc.fr/item/SM_1971_14_3_a1/
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Voir la notice de l'article provenant de la source Math-Net.Ru

In this paper conditions are established under which the values of the given set of $G$-functions at points of an imaginary quadratic field $I$ sufficiently small in modulus are not connected by a linear equation or an equation of degree $N$ with integral coefficients in $I$ no larger than $H$ in modulus. The modulus of the corresponding linear form and the modulus of a polynomial in the values of the $G$-functions are also estimated. Bilbiography: 13 titles.

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