{"title":"Kaneko-Ohno对偶公式的另一个证明","authors":"Xin Si, Fan Luo","doi":"10.4064/cm8943-5-2023","DOIUrl":null,"url":null,"abstract":"We prove Kaneko–Ohno’s duality relation for multiple zeta star values by using an integral involving the classical polylogarithm function and logarithmic function with the help of a few results of Xu (2017). Moreover, we also discuss some related results","PeriodicalId":49216,"journal":{"name":"Colloquium Mathematicum","volume":"3 1","pages":"0"},"PeriodicalIF":0.4000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Another proof of Kaneko–Ohno’s duality formula for multiple zeta star values\",\"authors\":\"Xin Si, Fan Luo\",\"doi\":\"10.4064/cm8943-5-2023\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We prove Kaneko–Ohno’s duality relation for multiple zeta star values by using an integral involving the classical polylogarithm function and logarithmic function with the help of a few results of Xu (2017). Moreover, we also discuss some related results\",\"PeriodicalId\":49216,\"journal\":{\"name\":\"Colloquium Mathematicum\",\"volume\":\"3 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.4000,\"publicationDate\":\"2023-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Colloquium Mathematicum\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.4064/cm8943-5-2023\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Colloquium Mathematicum","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.4064/cm8943-5-2023","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
Another proof of Kaneko–Ohno’s duality formula for multiple zeta star values
We prove Kaneko–Ohno’s duality relation for multiple zeta star values by using an integral involving the classical polylogarithm function and logarithmic function with the help of a few results of Xu (2017). Moreover, we also discuss some related results
期刊介绍:
Colloquium Mathematicum is a journal devoted to the publication of original papers of moderate length addressed to a broad mathematical audience. It publishes results of original research, interesting new proofs of important theorems and research-expository papers in all fields of pure mathematics.
Two issues constitute a volume, and at least four volumes are published each year.