Abstract
AbstractWe consider Diophantine equations of the shape $$ f(x) = g(y) $$
f
(
x
)
=
g
(
y
)
, where the polynomials f and g are elements of power sums. Using a finiteness criterion of Bilu and Tichy, we will prove that under suitable assumptions infinitely many rational solutions (x, y) with a bounded denominator are only possible in trivial cases.
Publisher
Springer Science and Business Media LLC