On the diophantine equation \(x^p-x=y^q-y\)

DOI10.5565/PUBLMAT_43199_08zbMath0949.11022OpenAlexW2262385164MaRDI QIDQ1301334

Maurice Mignotte, Attila Pethoe

Publication date: 25 October 1999

Published in: Publicacions Matemàtiques (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/41357

zbMATH Keywords

rational pointsrational solutions\(abc\)-conjecturefiniteness theoremintegral solutionsexponential diophantine equations\(S\)-integers

Mathematics Subject Classification ID

Exponential Diophantine equations (11D61)

Related Items (5)

On the diophantine equation 𝑥²=4𝑞^{𝑚}-4𝑞ⁿ+1 ⋮ A note on the number of solutions of the Pillai type equation \(| a^x - b^y | = k\) ⋮ On equal values of trinomials ⋮ On the Diophantine equation \(p^{x_1} - p^{x_2} = q^{y_1} - q^{y_2}\) ⋮ Diophantine equations in separated variables

This page was built for publication: On the diophantine equation \(x^p-x=y^q-y\)