Pillai's conjecture revisited.

DOI10.1016/S0022-314X(02)00049-5zbMath1045.11021WikidataQ122943970 ScholiaQ122943970MaRDI QIDQ1869792

Michael A. Bennett

Publication date: 28 April 2003

Published in: Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

exponential equationsfractional parts of powers of rationals

Mathematics Subject Classification ID

Counting solutions of Diophantine equations (11D45) Exponential Diophantine equations (11D61)

Related Items (3)

On the generalized Pillai equation \(\pm a^{x}\pm b^{y}=c\) ⋮ A note on the number of solutions of the Pillai type equation \(| a^x - b^y | = k\) ⋮ Sums of two cubes as twisted perfect powers, revisited

Cites Work

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• Solving exponential diophantine equations using lattice basis reduction algorithms
• On the equations \(p^x - b^y = c\) and \(a^x + b^y = c^z\)
• A lower bound for the quantity ||(3/2)^k||
• Fractional parts of powers of rationals
• Fractional parts of powers of rational numbers
• Catalan's Conjecture

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