Quantitative Estimates for the Size of the Zsigmondy Set in Arithmetic Dynamics

Fuente: arXiv
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Autores principales: Gao, Yang, Ji, Qingzhong
Formato: Preprint
Publicado: 2024
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author Gao, Yang
Ji, Qingzhong
author_facet Gao, Yang
Ji, Qingzhong
contents Let \( K \) be a number field. We provide quantitative estimates for the size of the Zsigmondy set of an integral ideal sequence generated by iterating a polynomial function \(φ(z) \in K[z]\) at a wandering point \(α\in K.\)
format Preprint
id arxiv_https___arxiv_org_abs_2409_04710
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Quantitative Estimates for the Size of the Zsigmondy Set in Arithmetic Dynamics
Gao, Yang
Ji, Qingzhong
Dynamical Systems
11B83, 37P05, 11G50
Let \( K \) be a number field. We provide quantitative estimates for the size of the Zsigmondy set of an integral ideal sequence generated by iterating a polynomial function \(φ(z) \in K[z]\) at a wandering point \(α\in K.\)
title Quantitative Estimates for the Size of the Zsigmondy Set in Arithmetic Dynamics
topic Dynamical Systems
11B83, 37P05, 11G50
url https://arxiv.org/abs/2409.04710