On Pillai's Diophantine equation

zbMath1136.11026MaRDI QIDQ851550

Yann Bugeaud, Florian Luca

Publication date: 21 November 2006

Published in: The New York Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/128843

zbMATH Keywords

\(ABC\) conjectureapplications of linear forms in logarithms and the subspace theorem

Mathematics Subject Classification ID

Counting solutions of Diophantine equations (11D45) Diophantine equations in many variables (11D72) Exponential Diophantine equations (11D61)

Related Items (10)

Pillai's equation in polynomials ⋮ A note on the number of solutions of the Pillai type equation \(| a^x - b^y | = k\) ⋮ Diophantine equations with truncated binomial polynomials ⋮ The number of solutions to the generalized Pillai equation \(\pm ra^{x} \pm sb^{y}=c\). ⋮ Multiplicative dependence of the translations of algebraic numbers ⋮ Two divisors of \((n^2+1)/2\) summing up to \(n+1\) ⋮ Diophantine equations in separated variables ⋮ A function field variant of Pillai's problem ⋮ The generalized Pillai equation \(\pm ra^x\pm sb^y=c\) ⋮ On a system of equations with primes

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