Primitive prime divisors in the critical orbits of one-parameter families of rational polynomials

Rufei Ren

For a rational polynomial $f$ and rational numbers $c,u$, we put $f_c(x):=f(x)+c$, and consider the Zsigmondy set $\mathcal{Z}(f_c,u)$ associated to the sequence $\{f_c^n(u)-u\}_{…