On the Diophantine equation \(a^x+b^y=(a+2)^z\)

DOI10.1007/S10474-016-0608-ZzbMath1389.11088OpenAlexW2313705001MaRDI QIDQ2400090

Takafumi Miyazaki, Pingzhi Yuan, Alain S. Togbé

Publication date: 25 August 2017

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-016-0608-z

zbMATH Keywords

exponential Diophantine equationBaker's method

Mathematics Subject Classification ID

Exponential Diophantine equations (11D61) Linear forms in logarithms; Baker's method (11J86)

Related Items (3)

A purely exponential Diophantine equation in three unknowns ⋮ An exponential Diophantine equation on triangular numbers ⋮ On the exponential Diophantine equation $(n-1)^{x}+(n+2)^{y}=n^{z}$

Cites Work

• Generalizations of classical results on Jeśmanowicz' conjecture concerning Pythagorean triples
• Upper bounds for solutions of an exponential Diophantine equation
• THE DIOPHANTINE EQUATION (2am - 1)^x + (2m)^y = (2am + 1)^z
• THE EXPONENTIAL DIOPHANTINE EQUATION n^x + (n + 1)^y = (n + 2)^z REVISITED
• Linear forms in two logarithms and interpolation determinants II

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