Gelfond-Schneider Constant
المؤلف:
Courant, R. and Robbins, H.
المصدر:
What Is Mathematics?: An Elementary Approach to Ideas and Methods, 2nd ed. Oxford, England: Oxford University Press
الجزء والصفحة:
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1-2-2021
2441
Gelfond-Schneider Constant
The Gelfond-Schneider constant is the number 
(OEIS A007507) that is known to be transcendental by Gelfond's theorem. Both the Gelfand-Schneider constant 
and Gelfond's constant 
were singled out in the 7th of Hilbert's problems as examples of numbers whose transcendence was an open problem (Wells 1986, p. 45).
REFERENCES:
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.
Sloane, N. J. A. Sequence A007507/M1560 in "The On-Line Encyclopedia of Integer Sequences."
Wells, D. The Penguin Dictionary of Curious and Interesting Numbers. Middlesex, England: Penguin Books, p. 45, 1986.
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