Preperiodic points for families of polynomials

Dragos Ghioca; Liang-Chung Hsia; Thomas Tucker

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arXiv · 1102.2769

Preperiodic points for families of polynomials

Dragos Ghioca·Liang-Chung Hsia·Thomas Tucker

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Abstract

Let $a(λ)$ and $b(λ)$ be two polynomials with coefficients in complex numbers and let $f_{\lamb$ be a one-parameter family of polynomials indexed by all complex numbers $λ$. We study whether there exist infinitely many complex numbers $λ$ such that both $a(λ)$ and $b(λ)$ are preperiodic for $f_λ$.

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BibTeX RIS

Dragos Ghioca, Liang-Chung Hsia, Thomas Tucker. 2011-02-14. Preperiodic points for families of polynomials. https://arxiv.org/abs/1102.2769

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