Matematičeskie zametki, Tome 16 (1974) no. 4, pp. 553-562
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A. A. Shmelev. A criterion for algebraic dependence of transcendental numbers. Matematičeskie zametki, Tome 16 (1974) no. 4, pp. 553-562. http://geodesic.mathdoc.fr/item/MZM_1974_16_4_a6/
@article{MZM_1974_16_4_a6,
author = {A. A. Shmelev},
title = {A~criterion for algebraic dependence of transcendental numbers},
journal = {Matemati\v{c}eskie zametki},
pages = {553--562},
year = {1974},
volume = {16},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1974_16_4_a6/}
}
TY - JOUR
AU - A. A. Shmelev
TI - A criterion for algebraic dependence of transcendental numbers
JO - Matematičeskie zametki
PY - 1974
SP - 553
EP - 562
VL - 16
IS - 4
UR - http://geodesic.mathdoc.fr/item/MZM_1974_16_4_a6/
LA - ru
ID - MZM_1974_16_4_a6
ER -
%0 Journal Article
%A A. A. Shmelev
%T A criterion for algebraic dependence of transcendental numbers
%J Matematičeskie zametki
%D 1974
%P 553-562
%V 16
%N 4
%U http://geodesic.mathdoc.fr/item/MZM_1974_16_4_a6/
%G ru
%F MZM_1974_16_4_a6
We obtain a theorem concerning the algebraic dependence of the $p+1$ numbers $\theta,\theta_1,\dots,\theta_p$ subject to the condition that the numbers $\theta_1,\dots,\theta_p$ are algebraically independent and possess a “sufficiently good” estimate of measure of algebraic independence.
