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单词 Gelfond's Theorem
释义

Gelfond's Theorem

Also called the Gelfond-Schneider Theorem. is Transcendental if

1. is Algebraic and

2. is Algebraic andIrrational.
This provides the solution to the seventh of Hilbert's Problems.

See also Algebraic Number, Hilbert's Problems, Irrational Number, Transcendental Number


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.


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