{"title":"Eigenvalues of a Differential Operator and Zeros of the Riemann $\\zeta$-Function","authors":"L. Ge","doi":"10.4208/ata.oa-su1","DOIUrl":null,"url":null,"abstract":"The eigenvalues of a differential operator on a Hilbert-Pólya space are determined. It is shown that these eigenvalues are exactly the nontrivial zeros of the Riemann ζ-function. Moreover, their corresponding multiplicities are the same.","PeriodicalId":29763,"journal":{"name":"Analysis in Theory and Applications","volume":"132 1","pages":""},"PeriodicalIF":0.4000,"publicationDate":"2020-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Analysis in Theory and Applications","FirstCategoryId":"95","ListUrlMain":"https://doi.org/10.4208/ata.oa-su1","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 1
Abstract
The eigenvalues of a differential operator on a Hilbert-Pólya space are determined. It is shown that these eigenvalues are exactly the nontrivial zeros of the Riemann ζ-function. Moreover, their corresponding multiplicities are the same.
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