On the Number of Rational Iterated Pre-Images of -1 under Quadratic Dynamical Systems
Trevor Hyde · American Journal of Undergraduate Research · 2010
For the class of functions fc(x)=x^2+c, we prove a conditional bound on the number of rational solutions to fc^N(x) =−1 and make computational conjectures for a bound on the number of rational solutions to fc^N(x)=a fora in a specific subset of the rationals.