{"title":"论拉马努扬 Theta 函数奇次幂的消失系数","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":"{\"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}","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}
On the vanishing coefficients of odd powers of Ramanujan’s theta functions
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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