Uniform bounds on $S$-integral preperiodic points for chebyshev polynomials
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866910628152606720 |
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| author | Padhy, Rudranarayan Rout, Sudhansu Sekhar |
| author_facet | Padhy, Rudranarayan Rout, Sudhansu Sekhar |
| contents | 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 $φ$ be Chebyshev polynomial. In this paper we prove uniformity results on the number of $S$-integral preperiodic points relative to a non-preperiodic point $β$, as $β$ varies over number fields of bounded degree. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_00937 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Uniform bounds on $S$-integral preperiodic points for chebyshev polynomials Padhy, Rudranarayan Rout, Sudhansu Sekhar Number Theory Primary 37F10 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 $φ$ be Chebyshev polynomial. In this paper we prove uniformity results on the number of $S$-integral preperiodic points relative to a non-preperiodic point $β$, as $β$ varies over number fields of bounded degree. |
| title | Uniform bounds on $S$-integral preperiodic points for chebyshev polynomials |
| topic | Number Theory Primary 37F10 |
| url | https://arxiv.org/abs/2410.00937 |