A finiteness property for preperiodic points of Chebyshev polynomials
Number Theory
2008-05-13 v1
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.
Keywords
Cite
@article{arxiv.0805.1554,
title = {A finiteness property for preperiodic points of Chebyshev polynomials},
author = {Su-Ion Ih and Thomas J. Tucker},
journal= {arXiv preprint arXiv:0805.1554},
year = {2008}
}
Comments
12 pages