Unlikely Intersection For Two-Parameter Families of Polynomials

Dragos Ghioca, Liang-Chung Hsia, Thomas J. Tucker

Let $c_1,c_2,c_3$ be distinct complex numbers, and let $d\ge 3$ be an integer. We show that the set of all pairs $(a,b)\in \mathbb{C}\times \mathbb{C}$ such that each $c_i$ is pr…