A finiteness property for preperiodic points of Chebyshev polynomials

Details A finiteness property for preperiodic points of Chebyshev polynomials A finiteness property for preperiodic points of Chebyshev polynomials

2008-05-11

arxiv.org/abs/0805.1554v1

Mathematics

Number Theory

12 pages

Scientific paper

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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