The Thue--Mahler equation in a~relative field and approximation of algebraic numbers by algebraic numbers
Izvestiya. Mathematics , Tome 11 (1977) no. 4, pp. 677-707
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A new estimate of the solutions of the generalized Thue–Mahler equation is derived, which explicitly exhibits the influence of all fundamental parameters of the equation on the magnitude of the solutions. Also, an effective power sharpening is given of “Liouville's inequality” relating to the approximation of algebraic numbers by algebraic numbers of a fixed field, which includes both Archimedean and non-Archimedean valuations.
Bibliography: 19 titles.
@article{IM2_1977_11_4_a0,
author = {S. V. Kotov and V. G. Sprindzhuk},
title = {The {Thue--Mahler} equation in a~relative field and approximation of algebraic numbers by algebraic numbers},
journal = {Izvestiya. Mathematics },
pages = {677--707},
publisher = {mathdoc},
volume = {11},
number = {4},
year = {1977},
language = {en},
url = {http://geodesic.mathdoc.fr/item/IM2_1977_11_4_a0/}
}
TY - JOUR AU - S. V. Kotov AU - V. G. Sprindzhuk TI - The Thue--Mahler equation in a~relative field and approximation of algebraic numbers by algebraic numbers JO - Izvestiya. Mathematics PY - 1977 SP - 677 EP - 707 VL - 11 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/IM2_1977_11_4_a0/ LA - en ID - IM2_1977_11_4_a0 ER -
%0 Journal Article %A S. V. Kotov %A V. G. Sprindzhuk %T The Thue--Mahler equation in a~relative field and approximation of algebraic numbers by algebraic numbers %J Izvestiya. Mathematics %D 1977 %P 677-707 %V 11 %N 4 %I mathdoc %U http://geodesic.mathdoc.fr/item/IM2_1977_11_4_a0/ %G en %F IM2_1977_11_4_a0
S. V. Kotov; V. G. Sprindzhuk. The Thue--Mahler equation in a~relative field and approximation of algebraic numbers by algebraic numbers. Izvestiya. Mathematics , Tome 11 (1977) no. 4, pp. 677-707. http://geodesic.mathdoc.fr/item/IM2_1977_11_4_a0/