Matematičeskie zametki, Tome 14 (1973) no. 1, pp. 83-94
Citer cet article
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/
@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 -
%0 Journal Article
%A V. G. Chirskii
%T Arithmetic properties of values of analytic functions connected by algebraic equations over fields of rational functions
%J Matematičeskie zametki
%D 1973
%P 83-94
%V 14
%N 1
%U http://geodesic.mathdoc.fr/item/MZM_1973_14_1_a10/
%G ru
%F MZM_1973_14_1_a10
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.
