{"title":"New identities for the family of Zeta function by using distributional representations","authors":"Asghar Qadir, Aamina Jamshaid","doi":"arxiv-2409.11029","DOIUrl":null,"url":null,"abstract":"Chaudhry and Qadir obtained new identities for the gamma function by using a\ndistributional representation for it. Here we obtain new identities for the\nRiemann zeta function and its family by using that representation for them.\nThis also leads to new identities involving the Dirichlet eta and Lambda\nfunctions.","PeriodicalId":501064,"journal":{"name":"arXiv - MATH - Number Theory","volume":"21 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Number Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.11029","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
Chaudhry and Qadir obtained new identities for the gamma function by using a
distributional representation for it. Here we obtain new identities for the
Riemann zeta function and its family by using that representation for them.
This also leads to new identities involving the Dirichlet eta and Lambda
functions.
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