Uniform bounds on $S$-integral preperiodic points for Chebyshev polynomials
1
조회
0
다운로드
0
인용
0
참고문헌
키워드
초록
Let $K$ be a number field with algebraic closure $\bar{K}$, let $S$ be a finite set of places of $K$ containing the archimedean places, and let $\varphi$ be a Chebyshev polynomial. In this paper, we prove uniformity results on the number of $S$-integral preperiodic points relative to a non-preperiodic point $\beta$, as $\beta$ varies over number fields of bounded degree.
Abstract
Let $K$ be a number field with algebraic closure $\bar{K}$, let $S$ be a finite set of places of $K$ containing the archimedean places, and let $\varphi$ be a Chebyshev polynomial. In this paper, we prove uniformity results on the number of $S$-integral preperiodic points relative to a non-preperiodic point $\beta$, as $\beta$ varies over number fields of bounded degree.