The density of prime divisors in the arithmetic dynamics of quadratic polynomials

@article{Jones2008TheDO,
title={The density of prime divisors in the arithmetic dynamics of quadratic polynomials},
author={R. Jones},
journal={Journal of The London Mathematical Society-second Series},
year={2008},
volume={78},
pages={523-544}
}

Journal of The London Mathematical Society-second Series

Let f [x], and consider the recurrence given by an = f(an � 1), with a0 . Denote by P(f, a0) the set of prime divisors of this recurrence, that is, the set of primes dividing at least one non-zero term, and denote the natural density of this set by D(P(f, a0)). The problem of determining D(P(f, a0)) when f is linear has attracted significant study, although it remains unresolved in full generality. In this paper, we consider the case of f quadratic, where previously D(P(f, a0)) was known only… Expand