A FINITENESS PROPERTY FOR PREPERIODIC POINTS OF CHEBYSHEV POLYNOMIALS-Reference-Cited by-同舟云学术

A FINITENESS PROPERTY FOR PREPERIODIC POINTS OF CHEBYSHEV POLYNOMIALS

Published:2010-08 Issue:05 Volume:06 Page:1011-1025
ISSN:1793-0421
Container-title:International Journal of Number Theory
language:en
Short-container-title:Int. J. Number Theory

Author:

IH SU-ION¹,TUCKER THOMAS J.²

Affiliation:

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

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

Abstract

Let K be a number field with algebraic closure [Formula: see text], 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 [Formula: see text] is not preperiodic, then there are only finitely many preperiodic points [Formula: see text] which are S-integral with respect to α.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793042110003356

Reference14 articles.

1. Transcendental Number Theory

2. Equidistribution of Small Points, Rational Dynamics, and Potential Theory

3. A finiteness property of torsion points

4. Limit distribution of small points on algebraic tori

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