{"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}
引用次数: 0
Abstract
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.