The irrationality of the values of certain transcendental functions
Izvestiya. Mathematics , Tome 2 (1968) no. 1, pp. 89-104
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In this paper we prove that an entire transcendental function, satisfying a first-order linear differential equation with polynomial coefficients and belonging to a more extensive class than Siegel's class of $E$-functions, assumes algebraic values of bounded degree only at a finite number of algebraic points of bounded degree.
@article{IM2_1968_2_1_a4,
author = {V. G. Sprindzhuk},
title = {The irrationality of the values of certain transcendental functions},
journal = {Izvestiya. Mathematics },
pages = {89--104},
publisher = {mathdoc},
volume = {2},
number = {1},
year = {1968},
language = {en},
url = {http://geodesic.mathdoc.fr/item/IM2_1968_2_1_a4/}
}
V. G. Sprindzhuk. The irrationality of the values of certain transcendental functions. Izvestiya. Mathematics , Tome 2 (1968) no. 1, pp. 89-104. http://geodesic.mathdoc.fr/item/IM2_1968_2_1_a4/