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A FINITENESS PROPERTY FOR PREPERIODIC POINTS OF CHEBYSHEV POLYNOMIALS

SU-ION IH

Department of Mathematics, University of Colorado at Boulder, Campus Box 395, Boulder CO 80309-0395, USA

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and

THOMAS J. TUCKER

Department of Mathematics, University of Rochester, Rochester NY 14627, USA

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https://doi.org/10.1142/S1793042110003356Cited by:4 (Source: Crossref)

Abstract

Let K be a number field with algebraic closure , let S be a finite set of places of K containing the Archimedean places, and let φ be a Chebyshev polynomial. We prove that if is not preperiodic, then there are only finitely many preperiodic points which are S-integral with respect to α.

Keywords:

AMSC: 11G05, 11G35, 14G05, 37F10, 11J86, 11J71, 11G50

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