Publication: On the Diophantine Equation x(2) 5(a) . 11(b) = y(n)
Date
Authors
Cangül, İsmail Naci
Demirci, Musa
Authors
Tzanakis, Nikos
Soydan, Gökhan
Kaczorowski, J.
Advisor
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Wydawnictwo Naukowe
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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 xab is odd. Our main result is Theorem 1.
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Keywords
Exponential diophantine equation, S-integral points of an elliptic curve, Thue-Mahler equation, Lucas sequence, Linear form in logarithms of algebraic numbers, Power values, Forms, Mathematics
Citation
Cangül, İ. N. vd. (2010). "On The Diophantine Equation x(2) 5(a) . 11(b) = y(n)". ed. J. Kaczorowski. Functiones et Approximatio: Commentarii Mathematici, 43, Part 2, 209-225.