{"title":"与爱森斯坦数列 L 函数导数相关的多项式零点的循环性","authors":"Jihyun Hwang, Yoonjin Lee","doi":"10.1007/s11139-024-00910-w","DOIUrl":null,"url":null,"abstract":"<p>In this paper, we study the zeros of polynomials obtained from the <i>L</i>-functions and their derivatives associated to non-cuspidal modular forms in Eisenstein spaces of prime levels as a generalization of work by Diamantis and Rolen.</p>","PeriodicalId":501430,"journal":{"name":"The Ramanujan Journal","volume":"40 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-08-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Concyclicity of the zeros of polynomials associated to derivatives of the L-functions of Eisenstein series\",\"authors\":\"Jihyun Hwang, Yoonjin Lee\",\"doi\":\"10.1007/s11139-024-00910-w\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>In this paper, we study the zeros of polynomials obtained from the <i>L</i>-functions and their derivatives associated to non-cuspidal modular forms in Eisenstein spaces of prime levels as a generalization of work by Diamantis and Rolen.</p>\",\"PeriodicalId\":501430,\"journal\":{\"name\":\"The Ramanujan Journal\",\"volume\":\"40 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-08-05\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"The Ramanujan Journal\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1007/s11139-024-00910-w\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"The Ramanujan Journal","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1007/s11139-024-00910-w","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
摘要
在本文中，我们研究了由 L 函数及其导数得到的多项式的零点，这些函数与素级爱森斯坦空间中的非骤变模态相关联，是对 Diamantis 和 Rolen 工作的推广。
Concyclicity of the zeros of polynomials associated to derivatives of the L-functions of Eisenstein series
In this paper, we study the zeros of polynomials obtained from the L-functions and their derivatives associated to non-cuspidal modular forms in Eisenstein spaces of prime levels as a generalization of work by Diamantis and Rolen.
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