A sufficient condition for algebraic independence of numbers
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 4 (1983), pp. 63-68
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A lower estimate is derived from the existence of a sequence of polynomials with two-sided estimates at a point $(\omega_1,\dots,\omega_d)\in\mathbf{C}^d$.
@article{VMUMM_1983_4_a9,
author = {Yu. V. Nesterenko},
title = {A sufficient condition for algebraic independence of numbers},
journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
pages = {63--68},
year = {1983},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMUMM_1983_4_a9/}
}
Yu. V. Nesterenko. A sufficient condition for algebraic independence of numbers. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 4 (1983), pp. 63-68. http://geodesic.mathdoc.fr/item/VMUMM_1983_4_a9/