Soydan, GökhanTzanakis, Nikos2024-11-262024-11-262010-12-010208-6573https://hdl.handle.net/11452/48464We give the complete solution (n, a, b, x, y) of the title equation when gcd (x, y) = 1, except for the case when x a b is odd. Our main result is Theorem 1.enPower valuesFormsExponential diophantine equationS-integral points of an elliptic curveThue-mahler equationLucas sequenceLinear form in logarithms of algebraic numbersScience & technologyPhysical sciencesMathematicsArticle000213791900007209225432