{"title":"Generalization of some of Ramanujan's formulae","authors":"Aung Phone Maw","doi":"arxiv-2408.09077","DOIUrl":null,"url":null,"abstract":"We will make use of the method of partial fractions to generalize some of\nRamanujan's infinite series identities, including Ramanujan's famous formula\nfor $\\zeta(2n+1)$. It is shown here that the method of partial fractions can be\nused to obtain many similar identities of this kind.","PeriodicalId":501502,"journal":{"name":"arXiv - MATH - General Mathematics","volume":"50 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-08-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - General Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2408.09077","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
We will make use of the method of partial fractions to generalize some of
Ramanujan's infinite series identities, including Ramanujan's famous formula
for $\zeta(2n+1)$. It is shown here that the method of partial fractions can be
used to obtain many similar identities of this kind.
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