Gelfond's Theorem
Also called the Gelfond-Schneider Theorem. 
is Transcendental if
- 1.
is Algebraic 
and - 2.
is Algebraic andIrrational.
References
Baker, A. Transcendental Number Theory. London: Cambridge University Press, 1990. Courant, R. and Robbins, H. What is Mathematics?: An Elementary Approach to Ideas and Methods, 2nd ed. Oxford, England: Oxford University Press, p. 107, 1996.
- Young Girl-Old Woman Illusion
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