Primitive prime divisors in the critical orbit of z^d+c

We prove the finiteness of the Zsigmondy set associated to the critical orbit of f(z) = z^d+c for rational values of c by finding an effective bound on the size of the set. For non-recurrent critical orbits, the Zsigmondy set is explicitly computed by utilizing effective dynamical height bounds. In...

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Bibliographische Detailangaben

1. Verfasser:	Krieger, Holly
Format:	Artikel
Sprache:	eng
Schlagworte:	Mathematics - Dynamical Systems Mathematics - Number Theory
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