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arXiv · 0805.1554

A finiteness property for preperiodic points of Chebyshev polynomials

Su-Ion Ih·Thomas J. Tucker
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Abstract

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

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Su-Ion Ih, Thomas J. Tucker. 2008-05-11. A finiteness property for preperiodic points of Chebyshev polynomials. https://arxiv.org/abs/0805.1554

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