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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 1982, Number 5, Pages 14–17
(Mi vmumm3557)
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Mathematics
Estimate of a linear form in the values of some functions
V. G. Chirskii
Abstract:
We establish effective lower bounds for a linear form in the values at distinct algebraic
points of the functions
\begin{align}
f_k(z)&=\sum_{n=1}^\infty\frac1{((n-1)!)^mn^k}\biggl(\frac{{}'z}m\biggr)^{mn},
\quad k=1,\dots,m-1,\notag\\
f_m=(z)&=\sum_{n=0}^\infty\frac1{(n!)^m}\biggl(\frac{z}m\biggr)^{mn}.
\notag
\end{align}
Received: 08.10.1981
Citation:
V. G. Chirskii, “Estimate of a linear form in the values of some functions”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1982, no. 5, 14–17
Linking options:
https://www.mathnet.ru/eng/vmumm3557 https://www.mathnet.ru/eng/vmumm/y1982/i5/p14
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Abstract page: | 62 | Full-text PDF : | 18 |
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