On the Diophantine Equation x(2) 5(a) . 11(b) = y(n)
Date
2010
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.