{"title":"整数参数的黎曼ζ函数的生成函数的积分表示","authors":"K. Adegoke, A. Olatinwo","doi":"10.4314/ijs.v25i1.3","DOIUrl":null,"url":null,"abstract":"In this article we give new integral representations for the ordinary generating functions of ζ(2n), nζ(2n+1) and ζ(2n+1) for n∈ Z*, n≥1; where ζ(j) is the Riemann zeta function. We also give closed form expressionsfor the generating functions.","PeriodicalId":13487,"journal":{"name":"Ife Journal of Science","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2023-05-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Integral representations of the generating function of the Riemann zeta function of integer arguments\",\"authors\":\"K. Adegoke, A. Olatinwo\",\"doi\":\"10.4314/ijs.v25i1.3\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this article we give new integral representations for the ordinary generating functions of ζ(2n), nζ(2n+1) and ζ(2n+1) for n∈ Z*, n≥1; where ζ(j) is the Riemann zeta function. We also give closed form expressionsfor the generating functions.\",\"PeriodicalId\":13487,\"journal\":{\"name\":\"Ife Journal of Science\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-05-10\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Ife Journal of Science\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.4314/ijs.v25i1.3\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Ife Journal of Science","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.4314/ijs.v25i1.3","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Integral representations of the generating function of the Riemann zeta function of integer arguments
In this article we give new integral representations for the ordinary generating functions of ζ(2n), nζ(2n+1) and ζ(2n+1) for n∈ Z*, n≥1; where ζ(j) is the Riemann zeta function. We also give closed form expressionsfor the generating functions.
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