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On the sum \(\sum\limits_{k=1}^3 | 2^{\pi^k}-\alpha_k |, \alpha_k\) algebraic numbers. (English) Zbl 0287.10020

MSC:
11J99 Diophantine approximation, transcendental number theory
11J81 Transcendence (general theory)
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References:
[1] Lang, S., Algebraic values of meromorphic functions I, Topology, 3, 183-191, (1965) · Zbl 0133.13804
[2] Mahler, K., On the approximation of π, (), 30-42 · Zbl 0053.36105
[3] Ramachandra, K., ()
[4] Ramachandra, K., Contributions to the theory of transcendental numbers (I & II), Acta arith., 14, (1968) · Zbl 0176.33101
[5] Schneider, Th., ()
[6] Tijdeman, R., An auxiliary result in the theory of transcendental numbers, J. number theory, 5, 80-94, (1973) · Zbl 0254.10027
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