Arithmetic properties of values of analytic functions connected by algebraic equations over fields of rational functions
Matematičeskie zametki, Tome 14 (1973) no. 1, pp. 83-94
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In this paper theorems are proved about the arithmetic character of the values at algebraic points of a collection of $G$-functions which constitute a solution of a system of linear differential equations with coefficients from $C(z)$ connected by algebraic equations over $C(z)$. In addition, the theorems on E-functions proved by A. B. Shidlovskii in 1962 are supplemented.
@article{MZM_1973_14_1_a10,
author = {V. G. Chirskii},
title = {Arithmetic properties of values of analytic functions connected by algebraic equations over fields of rational functions},
journal = {Matemati\v{c}eskie zametki},
pages = {83--94},
year = {1973},
volume = {14},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1973_14_1_a10/}
}
TY - JOUR AU - V. G. Chirskii TI - Arithmetic properties of values of analytic functions connected by algebraic equations over fields of rational functions JO - Matematičeskie zametki PY - 1973 SP - 83 EP - 94 VL - 14 IS - 1 UR - http://geodesic.mathdoc.fr/item/MZM_1973_14_1_a10/ LA - ru ID - MZM_1973_14_1_a10 ER -
V. G. Chirskii. Arithmetic properties of values of analytic functions connected by algebraic equations over fields of rational functions. Matematičeskie zametki, Tome 14 (1973) no. 1, pp. 83-94. http://geodesic.mathdoc.fr/item/MZM_1973_14_1_a10/