TY - JOUR AU - Krieger, Holly AB - We prove the finiteness of the Zsigmondy set associated to the critical orbit of f(z)zdc for rational values of c by uniformly bounding the size of the Zsigmondy set for all and all d2. We prove further that there exists an effectively computable bound M(c) on the largest element of the Zsigmondy set, and that, under mild additional hypotheses on c, we have M(c)3. TI - Primitive Prime Divisors in the Critical Orbit of zdc JF - International Mathematics Research Notices DO - 10.1093/imrn/rns213 DA - 2013-10-08 UR - https://www.deepdyve.com/lp/oxford-university-press/primitive-prime-divisors-in-the-critical-orbit-of-zdc-j3gi8nqLnA SP - 5498 EP - 5525 VL - 2013 IS - 23 DP - DeepDyve ER -