{"title":"Weighted sum formulas of multiple Hurwitz zeta functions","authors":"Shuta Hashimoto, Takashi Nakamura, Tatsuki Watanabe","doi":"10.1007/s13226-024-00675-4","DOIUrl":null,"url":null,"abstract":"<p>In this paper, we give weighted sum formulas of the multiple Hurwitz zeta functions <span>\\(\\zeta (s_1, \\ldots , s_n;a)\\)</span>. As a corollary, we prove a well known explicit evaluation formula for <span>\\(\\zeta (s, \\ldots , s;a)\\)</span>.</p>","PeriodicalId":501427,"journal":{"name":"Indian Journal of Pure and Applied Mathematics","volume":"3 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-08-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Indian Journal of Pure and Applied Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1007/s13226-024-00675-4","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
In this paper, we give weighted sum formulas of the multiple Hurwitz zeta functions \(\zeta (s_1, \ldots , s_n;a)\). As a corollary, we prove a well known explicit evaluation formula for \(\zeta (s, \ldots , s;a)\).
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