Preperiodic points for families of polynomials

Dragos Ghioca; Liang Chung Hsia; Thomas J. Tucker

doi:10.2140/ant.2013.7.701

Preperiodic points for families of polynomials

Dragos Ghioca, Liang Chung Hsia, Thomas J. Tucker

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

21 Citations (Scopus)

Abstract

Let a(λ), b(λ) j{cyrillic, ukrainian} C[λ], and let f_λ(x) j{cyrillic, ukrainian} C[x] be a one-parameter family of polynomials indexed by all λ j{cyrillic, ukrainian} C. We study whether there exist infinitely many λ j{cyrillic, ukrainian} C such that both a(λ) and b(λ) are preperiodic for f_λ.

Original language	English
Pages (from-to)	701-732
Number of pages	32
Journal	Algebra and Number Theory
Volume	7
Issue number	3
DOIs	https://doi.org/10.2140/ant.2013.7.701
Publication status	Published - 2013

Keywords

Heights
Preperiodic points

ASJC Scopus subject areas

Algebra and Number Theory

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author = "Dragos Ghioca and Hsia, {Liang Chung} and Tucker, {Thomas J.}",

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T1 - Preperiodic points for families of polynomials

AU - Ghioca, Dragos

AU - Hsia, Liang Chung

AU - Tucker, Thomas J.

PY - 2013

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AB - Let a(λ), b(λ) j{cyrillic, ukrainian} C[λ], and let fλ(x) j{cyrillic, ukrainian} C[x] be a one-parameter family of polynomials indexed by all λ j{cyrillic, ukrainian} C. We study whether there exist infinitely many λ j{cyrillic, ukrainian} C such that both a(λ) and b(λ) are preperiodic for fλ.

KW - Heights

KW - Preperiodic points

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JO - Algebra and Number Theory

JF - Algebra and Number Theory

IS - 3

ER -

Preperiodic points for families of polynomials

Abstract

Keywords

ASJC Scopus subject areas

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