Publication: On the diophantine equation x2
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Date
2010-12-01
Authors
Authors
Soydan, Gökhan
Tzanakis, Nikos
Journal Title
Journal ISSN
Volume Title
Publisher
Wydawnictwo Naukowe Uam
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.
Description
Keywords
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