{"title":"路上的斯派塞定理","authors":"Janyarak Tongsomporn, J. Steuding","doi":"10.48048/wjst.2019.6944","DOIUrl":null,"url":null,"abstract":"In this note we discuss the Gauss-Lucas theorem (for the zeros of the derivative of a polynomial) and Speiser’s equivalent for the Riemann hypothesis (about the location of zeros of the Riemann zeta-function). We indicate similarities between these results and present there analogues in the context of elliptic curves, regular graphs, and finite Euler products.","PeriodicalId":255195,"journal":{"name":"Walailak Journal of Science and Technology (WJST)","volume":"326 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2019-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Speiser’s Theorem on the Road\",\"authors\":\"Janyarak Tongsomporn, J. Steuding\",\"doi\":\"10.48048/wjst.2019.6944\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this note we discuss the Gauss-Lucas theorem (for the zeros of the derivative of a polynomial) and Speiser’s equivalent for the Riemann hypothesis (about the location of zeros of the Riemann zeta-function). We indicate similarities between these results and present there analogues in the context of elliptic curves, regular graphs, and finite Euler products.\",\"PeriodicalId\":255195,\"journal\":{\"name\":\"Walailak Journal of Science and Technology (WJST)\",\"volume\":\"326 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2019-05-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Walailak Journal of Science and Technology (WJST)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.48048/wjst.2019.6944\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Walailak Journal of Science and Technology (WJST)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.48048/wjst.2019.6944","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
In this note we discuss the Gauss-Lucas theorem (for the zeros of the derivative of a polynomial) and Speiser’s equivalent for the Riemann hypothesis (about the location of zeros of the Riemann zeta-function). We indicate similarities between these results and present there analogues in the context of elliptic curves, regular graphs, and finite Euler products.
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