Liang-Chung Hsia

activity

20032025

most citedPreperiodic points for families of rational map

41 citations · 51 across the 12 of their papers we have counts for

collaborators

Showing 2016Show all

2 papers · 1 filter

math.NT2016

Greatest common divisors of iterates of polynomials

Liang-Chung Hsia, Thomas J. Tucker

Following work of Bugeaud, Corvaja, and Zannier for integers, Ailon and Rudnick prove that for any multiplicatively independent polynomials, $a, b \in C [x]$ , there is a p…

math.DS2016

Simultaneously preperiodic points for families of polynomials in normal form

Dragos Ghioca, Liang-Chung Hsia, Khoa Dang Nguyen

Let $d > m > 1$ be integers, let $c_{1}, \dots, c_{m + 1}$ be distinct complex numbers, and let $f (z) := z^{d} + t_{1} z^{m - 1} + t_{2} z^{m - 2} + \dots + t_{m - 1} z + t_{m}$ be an $m$ -parameter family o…