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On the diophantine equation x2

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CANGÜL, İSMAİL NACİ
Cangül, Ismail Naci
Demirci, Musa

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Soydan, Gökhan
Tzanakis, Nikos

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Wydawnictwo Naukowe Uam

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Abstract

We 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.

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Power values, Forms, Exponential diophantine equation, S-integral points of an elliptic curve, Thue-mahler equation, Lucas sequence, Linear form in logarithms of algebraic numbers, Science & technology, Physical sciences, Mathematics

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