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This article is cited in 9 scientific papers (total in 9 papers)
Arithmetic properties of the values of a class of analytic functions
M. S. Nurmagomedov
Abstract:
In this paper conditions are established under which the values of the given set of $G$-functions at points of an imaginary quadratic field $I$ sufficiently small in modulus are not connected by a linear equation or an equation of degree $N$ with integral coefficients in $I$ no larger than $H$ in modulus. The modulus of the corresponding linear form and the modulus of a polynomial in the values of the $G$-functions are also estimated.
Bilbiography: 13 titles.
Received: 11.06.1970
Citation:
M. S. Nurmagomedov, “Arithmetic properties of the values of a class of analytic functions”, Mat. Sb. (N.S.), 85(127):3(7) (1971), 339–365; Math. USSR-Sb., 14:3 (1971), 329–357
Linking options:
https://www.mathnet.ru/eng/sm3212https://doi.org/10.1070/SM1971v014n03ABEH002620 https://www.mathnet.ru/eng/sm/v127/i3/p339
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Abstract page: | 244 | Russian version PDF: | 108 | English version PDF: | 10 | References: | 40 |
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