Generalized Greatest Common Divisors for the Orbits under Rational Functions

Keping Huang

Assume Vojta's Conjecture. Suppose $a,b,\alpha ,\beta \in \mathbb{Z}$, and $f(x),g(x)\in \mathbb{Z}[x]$ are polynomials of degree $d\ge 2$. Assume that the sequence $(f^{\circ n}(a), g^{\…