A FINITENESS PROPERTY FOR PREPERIODIC POINTS OF CHEBYSHEV POLYNOMIALS

作者：Ih Su Ion^*; Tucker Thomas J

来源：International Journal of Number Theory, 2010, 6(5): 1011-1025.

DOI：10.1142/S1793042110003356

• Chebyshev polynomials
• equidistribution
• integral points
• preperiodic points

Let K be a number field with algebraic closure (K) over bar, let S be a finite set of places of K containing the Archimedean places, and let phi be a Chebyshev polynomial. We prove that if alpha is an element of (K) over bar is not preperiodic, then there are only finitely many preperiodic points beta is an element of (K) over bar which are S-integral with respect to alpha.

• 出版日期2010-8