{"title":"On the vanishing coefficients of odd powers of Ramanujan’s theta functions","authors":"Ji-Cai Liu","doi":"10.1007/s11139-024-00882-x","DOIUrl":null,"url":null,"abstract":"<p>Various vanishing coefficient results on <i>q</i>-series expansions have been widely studied by many authors in recent years. Motivated by these works, we establish a general vanishing coefficient result on odd powers of Ramanujan’s theta functions.</p>","PeriodicalId":501430,"journal":{"name":"The Ramanujan Journal","volume":"58 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-06-25","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/s11139-024-00882-x","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
Various vanishing coefficient results on q-series expansions have been widely studied by many authors in recent years. Motivated by these works, we establish a general vanishing coefficient result on odd powers of Ramanujan’s theta functions.
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