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

Yang Gao, Qingzhong Ji

Type: Preprint

Publication Date: 2024-09-07

Citations: 0

DOI: https://doi.org/10.48550/arxiv.2409.04710

Abstract

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 $\varphi(z) \in K[z]$ at a wandering point $\alpha \in K.$

Locations

arXiv (Cornell University) - View - PDF

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