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In the paper the infinite power towers which are generated by an algebraic numbers belonging to the closed interval are investigated and an answer is given to the question when they are transcendental or rational numbers. Also a necessary condition for an infinite power tower to be an irrational algebraic number is proposed.
- Infinite power tower
- Algebraic number
- Transcendental number
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Cite this paper
Vassilev-Missana, M. (2010). Some results on infinite power towers. Notes on Number Theory and Discrete Mathematics, 16(3), 18-24.