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arXiv · 2410.00937

Uniform bounds on $S$-integral preperiodic points for chebyshev polynomials

Rudranarayan Padhy·Sudhansu Sekhar Rout
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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 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.

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Rudranarayan Padhy, Sudhansu Sekhar Rout. 2024-10-01. Uniform bounds on $S$-integral preperiodic points for chebyshev polynomials. https://arxiv.org/abs/2410.00937

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