{"title":"关于Jones多项式模素数","authors":"Valeriano Aiello, S. Baader, Livio Ferretti","doi":"10.1017/S0017089523000253","DOIUrl":null,"url":null,"abstract":"Abstract We derive an upper bound on the density of Jones polynomials of knots modulo a prime number \n$p$\n , within a sufficiently large degree range: \n$4/p^7$\n . As an application, we classify knot Jones polynomials modulo two of span up to eight.","PeriodicalId":50417,"journal":{"name":"Glasgow Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5000,"publicationDate":"2022-04-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On the Jones polynomial modulo primes\",\"authors\":\"Valeriano Aiello, S. Baader, Livio Ferretti\",\"doi\":\"10.1017/S0017089523000253\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Abstract We derive an upper bound on the density of Jones polynomials of knots modulo a prime number \\n$p$\\n , within a sufficiently large degree range: \\n$4/p^7$\\n . As an application, we classify knot Jones polynomials modulo two of span up to eight.\",\"PeriodicalId\":50417,\"journal\":{\"name\":\"Glasgow Mathematical Journal\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.5000,\"publicationDate\":\"2022-04-26\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Glasgow Mathematical Journal\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1017/S0017089523000253\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Glasgow Mathematical Journal","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1017/S0017089523000253","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
Abstract We derive an upper bound on the density of Jones polynomials of knots modulo a prime number
$p$
, within a sufficiently large degree range:
$4/p^7$
. As an application, we classify knot Jones polynomials modulo two of span up to eight.
期刊介绍：
Glasgow Mathematical Journal publishes original research papers in any branch of pure and applied mathematics. An international journal, its policy is to feature a wide variety of research areas, which in recent issues have included ring theory, group theory, functional analysis, combinatorics, differential equations, differential geometry, number theory, algebraic topology, and the application of such methods in applied mathematics.
The journal has a web-based submission system for articles. For details of how to to upload your paper see GMJ - Online Submission Guidelines or go directly to the submission site.
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