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A criterion for algebraic dependence of transcendental numbers
A. A. Shmelev Institute of Electronic Control Machines
Abstract:
We obtain a theorem concerning the algebraic dependence of the $p+1$ numbers $\theta,\theta_1,\dots,\theta_p$ subject to the condition that the numbers $\theta_1,\dots,\theta_p$ are algebraically independent and possess a “sufficiently good” estimate of measure of algebraic independence.
Received: 26.06.1973
Citation:
A. A. Shmelev, “A criterion for algebraic dependence of transcendental numbers”, Mat. Zametki, 16:4 (1974), 553–562; Math. Notes, 16:4 (1974), 921–926
Linking options:
https://www.mathnet.ru/eng/mzm7494 https://www.mathnet.ru/eng/mzm/v16/i4/p553
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Abstract page: | 164 | Full-text PDF : | 81 | First page: | 1 |
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