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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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