{"title":"Quantitative Estimates for the Size of the Zsigmondy Set in Arithmetic Dynamics","authors":"Yang Gao, Qingzhong Ji","doi":"arxiv-2409.04710","DOIUrl":null,"url":null,"abstract":"Let \\( K \\) be a number field. We provide quantitative estimates for the size\nof the Zsigmondy set of an integral ideal sequence generated by iterating a\npolynomial function \\(\\varphi(z) \\in K[z]\\) at a wandering point \\(\\alpha \\in\nK.\\)","PeriodicalId":501035,"journal":{"name":"arXiv - MATH - Dynamical Systems","volume":"42 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Dynamical Systems","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.04710","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
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 \(\alpha \in
K.\)
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