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This article is cited in 2 scientific papers (total in 2 papers)
On the question of the algebraic independence of algebraic powers of algebraic numbers
A. A. Shmelev M. V. Lomonosov Moscow State University
Abstract:
We obtain results showing that transcendental numbers of the form $a^\beta$, where $a\ne0,1$, $\beta$ is irrational, and $a$ and $\beta$ are algebraic numbers, cannot be expressed algebraically in terms of two of the numbers. The proof is carried out by A. O. Gel'fond's method.
Received: 12.03.1971
Citation:
A. A. Shmelev, “On the question of the algebraic independence of algebraic powers of algebraic numbers”, Mat. Zametki, 11:6 (1972), 635–644; Math. Notes, 11:6 (1972), 387–392
Linking options:
https://www.mathnet.ru/eng/mzm9831 https://www.mathnet.ru/eng/mzm/v11/i6/p635
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