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

Dynamical Systems 2024-09-10 v1

Abstract

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

Keywords

Cite

@article{arxiv.2409.04710,
  title  = {Quantitative Estimates for the Size of the Zsigmondy Set in Arithmetic Dynamics},
  author = {Yang Gao and Qingzhong Ji},
  journal= {arXiv preprint arXiv:2409.04710},
  year   = {2024}
}