{"title":"复平面内弧上多项式的增长","authors":"Annie R. Wei","doi":"10.1016/j.aim.2024.109940","DOIUrl":null,"url":null,"abstract":"<div><p>We prove that the growth rate of polynomials on an arc in the complex plane is exponential in its degree and can be computed by a linear program.</p></div>","PeriodicalId":50860,"journal":{"name":"Advances in Mathematics","volume":"458 ","pages":"Article 109940"},"PeriodicalIF":1.5000,"publicationDate":"2024-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0001870824004559/pdfft?md5=b7a46e228e4403bdfcbf5b4f2b083235&pid=1-s2.0-S0001870824004559-main.pdf","citationCount":"0","resultStr":"{\"title\":\"Growth of polynomials on arcs in the complex plane\",\"authors\":\"Annie R. Wei\",\"doi\":\"10.1016/j.aim.2024.109940\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>We prove that the growth rate of polynomials on an arc in the complex plane is exponential in its degree and can be computed by a linear program.</p></div>\",\"PeriodicalId\":50860,\"journal\":{\"name\":\"Advances in Mathematics\",\"volume\":\"458 \",\"pages\":\"Article 109940\"},\"PeriodicalIF\":1.5000,\"publicationDate\":\"2024-12-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://www.sciencedirect.com/science/article/pii/S0001870824004559/pdfft?md5=b7a46e228e4403bdfcbf5b4f2b083235&pid=1-s2.0-S0001870824004559-main.pdf\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Advances in Mathematics\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0001870824004559\",\"RegionNum\":1,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"2024/9/19 0:00:00\",\"PubModel\":\"Epub\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Advances in Mathematics","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0001870824004559","RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"2024/9/19 0:00:00","PubModel":"Epub","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
期刊介绍：
Emphasizing contributions that represent significant advances in all areas of pure mathematics, Advances in Mathematics provides research mathematicians with an effective medium for communicating important recent developments in their areas of specialization to colleagues and to scientists in related disciplines.
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