A note on the equation \(x^y + y^z = z^x\)

DOI10.1186/1029-242X-2014-170zbMath1371.11082OpenAlexW2050919841WikidataQ59323705 ScholiaQ59323705MaRDI QIDQ2405622

Xiaoxue Li, Yulin Lu

Publication date: 26 September 2017

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1029-242x-2014-170

zbMATH Keywords

existenceinequalityexponential Diophantine equationprimitive divisor of Lucas number

Mathematics Subject Classification ID

Exponential Diophantine equations (11D61)

Related Items (1)

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Cites Work

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• The diophantine equation \(x^ 2 + 2^ k = y^ n\)
• On Cohn's conjecture concerning the Diophantine equation \(x^2+2^m=y^n\)
• Some exponential diophantine equations. I: The equation \(D_1x^2 - D_2y^2 = \lambda k^z\)
• Existence of primitive divisors of Lucas and Lehmer numbers
• ON THE DIOPHANTINE EQUATION ax^y + by^z + cz^x = 0
• Ternary Diophantine Equations via Galois Representations and Modular Forms
• Primitive Divisors of Lucas and Lehmer Sequences

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