Matematičeskie zametki, Tome 3 (1968) no. 4, pp. 377-386
Citer cet article
A. I. Galochkin. Estimate of the conjugate transcendence measure for the values of $E$-functions. Matematičeskie zametki, Tome 3 (1968) no. 4, pp. 377-386. http://geodesic.mathdoc.fr/item/MZM_1968_3_4_a1/
@article{MZM_1968_3_4_a1,
author = {A. I. Galochkin},
title = {Estimate of the conjugate transcendence measure for the values of $E$-functions},
journal = {Matemati\v{c}eskie zametki},
pages = {377--386},
year = {1968},
volume = {3},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1968_3_4_a1/}
}
TY - JOUR
AU - A. I. Galochkin
TI - Estimate of the conjugate transcendence measure for the values of $E$-functions
JO - Matematičeskie zametki
PY - 1968
SP - 377
EP - 386
VL - 3
IS - 4
UR - http://geodesic.mathdoc.fr/item/MZM_1968_3_4_a1/
LA - ru
ID - MZM_1968_3_4_a1
ER -
%0 Journal Article
%A A. I. Galochkin
%T Estimate of the conjugate transcendence measure for the values of $E$-functions
%J Matematičeskie zametki
%D 1968
%P 377-386
%V 3
%N 4
%U http://geodesic.mathdoc.fr/item/MZM_1968_3_4_a1/
%G ru
%F MZM_1968_3_4_a1
A lower estimate is obtained for the modulus of a nonzero polynomial having rational integral coefficients in terms of the values at algebraic points of $E$-functions representing the solutions of a system of linear differential equations having rational functions as coefficients.