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This article is cited in 4 scientific papers (total in 4 papers)
Arithmetic properties of values of analytic functions connected by algebraic equations over fields of rational functions
V. G. Chirskii M. V. Lomonosov Moscow State University
Abstract:
In this paper theorems are proved about the arithmetic character of the values at algebraic points of a collection of $G$-functions which constitute a solution of a system of linear differential equations with coefficients from $C(z)$ connected by algebraic equations over $C(z)$. In addition, the theorems on E-functions proved by A. B. Shidlovskii in 1962 are supplemented.
Received: 26.12.1972
Citation:
V. G. Chirskii, “Arithmetic properties of values of analytic functions connected by algebraic equations over fields of rational functions”, Mat. Zametki, 14:1 (1973), 83–94; Math. Notes, 14:1 (1973), 603–609
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https://www.mathnet.ru/eng/mzm7207 https://www.mathnet.ru/eng/mzm/v14/i1/p83
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Abstract page: | 207 | Full-text PDF : | 73 | First page: | 1 |
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