## Gelfond's theoremGelfond's theorem, also known as the Gelfond-Schneider theorem, asserts that a is a transcendental
number if (1) ^{b}a is an algebraic
number and not equal to either 0 or 1, and (2) b is algebraic
and also an irrational number.
Gelfond's theorem enables the seventh of David Hilbert's
famous problems to be solved. ## Related category• NUMBER THEORY | |||||

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