On estimates, unimprovable with respect to height, of some linear forms
Sbornik. Mathematics, Tome 52 (1985) no. 2, pp. 407-421 Cet article a éte moissonné depuis la source Math-Net.Ru

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Lower and upper bounds that differ from each other only by a constant factor are obtained for linear forms in values of the function $$ \psi(z)=\sum_{\nu=0}^\infty\frac{z^\nu}{b^{(s+1)\nu}\nu!\,[\lambda_1+1,\nu]\dots[\lambda_s+1,\nu]}, $$ $[\lambda+1,\nu]=(\lambda+1)\dots(\lambda+\nu)$, $[\lambda+1,0]=1$ and its $s$ successive derivatives at the point $z=\frac1b$ under the condition that $a,b$ and $a\lambda_1,\dots,a\lambda_s$ are integers in some imaginary quadratic field. Bibliography: 9 titles.
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A. I. Galochkin. On estimates, unimprovable with respect to height, of some linear forms. Sbornik. Mathematics, Tome 52 (1985) no. 2, pp. 407-421. http://geodesic.mathdoc.fr/item/SM_1985_52_2_a6/

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[8] Galochkin A. I., “O poluchenii tochnykh po vysote otsenok nekotorykh lineinykh form”, Teoriya transtsendentnykh chisel i ee prilozheniya, Tezisy dokladov Vsesoyuznoi konf., Izd-vo MGU, M., 1983, 21–22

[9] Galočkin A. I., “Sur des estimations précises par rapport à la hauteur de certaines formes linéaires”, Proc. conference: Approximations diophantiennes et nombres transcendants. Luminy, 1982, Progress in Math., Birkhäuser, 1983