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This article is cited in 4 scientific papers (total in 4 papers)
Algebraic independence of some values of the exponential function
G. V. Chudnovskii National Taras Shevchenko University of Kyiv
Abstract:
We prove general results concerning the algebraic independence of three values of the exponential function. For $\beta$ algebraic and of degree 7 and $\alpha$ algebraic and $\neq0,\,1$ there exist among the numbers $\alpha^\beta,\dots,\alpha^{\beta^6}$ three which are algebraically independent. The proof employs a method due to A. O. Gel'fond and N. I. Fel'dman.
Received: 22.01.1973
Citation:
G. V. Chudnovskii, “Algebraic independence of some values of the exponential function”, Mat. Zametki, 15:4 (1974), 661–672; Math. Notes, 15:4 (1974), 391–398
Linking options:
https://www.mathnet.ru/eng/mzm7390 https://www.mathnet.ru/eng/mzm/v15/i4/p661
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Abstract page: | 180 | Full-text PDF : | 102 | First page: | 1 |
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