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Proceedings of the American Mathematical Society

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Algebraic solution of $ x^{y}=y^{x}$ $ (0<x<y)$


Author: Daihachiro Sato
Journal: Proc. Amer. Math. Soc. 31 (1972), 316
MSC: Primary 10.10
DOI: https://doi.org/10.1090/S0002-9939-1972-0288074-5
MathSciNet review: 0288074
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Abstract: The characterization of pairs of algebraic numbers (algebraic integers) which are commutative with respect to the exponentiation will be given.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1972-0288074-5
Keywords: Algebraic numbers, diophantine equations, exponentiation, Gelfond-Schneider theorem
Article copyright: © Copyright 1972 American Mathematical Society

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