On the Diophantine Equation x(2) 5(a) . 11(b) = y(n)
Date
2010
Authors
Tzanakis, Nikos
Soydan, Gökhan
Kaczorowski, J.
Journal Title
Journal ISSN
Volume Title
Publisher
Wydawnictwo Naukowe
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.
Description
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.