63 citations · 325 across the 35 of their papers we have counts for
3 papers · 1 filter
Preperiodic points for families of rational map
Dragos Ghioca, Liang-Chung Hsia, Thomas J. Tucker
Let X be a smooth curve defined over the algebraic numbers, let a,b be algebraic numbers, and let f_l(x) be an algebraic family of rational maps indexed by all l in X. We study whe…
ABC implies primitive prime divisors in arithmetic dynamic
Chad Gratton, Khoa Nguyen, Thomas J. Tucker
Let K be a number field, let f(x) in K(x) be a rational function of degree d> 1, and let z in K be a wandering point such that f^n(z) is nonzero for all n > 0. We prove that if the…
Integral points in two-parameter orbits
Pietro Corvaja, Vijay Sookdeo, Thomas J. Tucker +1
Let K be a number field, let f: P_1 --> P_1 be a nonconstant rational map of degree greater than 1, let S be a finite set of places of K, and suppose that u, w in P_1(K) are not pr…