{"title":"巴塞尔问题之外:第二部分","authors":"K. Williams","doi":"10.1080/0025570X.2023.2199674","DOIUrl":null,"url":null,"abstract":"Summary In the 18th century, Euler evaluated the sum in terms of the Bernoulli number for any positive integer k. In this article we evaluate the sum where a and b are integers satisfying and .","PeriodicalId":18344,"journal":{"name":"Mathematics Magazine","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2023-05-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Beyond the Basel Problem: Part II\",\"authors\":\"K. Williams\",\"doi\":\"10.1080/0025570X.2023.2199674\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Summary In the 18th century, Euler evaluated the sum in terms of the Bernoulli number for any positive integer k. In this article we evaluate the sum where a and b are integers satisfying and .\",\"PeriodicalId\":18344,\"journal\":{\"name\":\"Mathematics Magazine\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-05-02\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mathematics Magazine\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1080/0025570X.2023.2199674\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematics Magazine","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1080/0025570X.2023.2199674","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Mathematics","Score":null,"Total":0}
Summary In the 18th century, Euler evaluated the sum in terms of the Bernoulli number for any positive integer k. In this article we evaluate the sum where a and b are integers satisfying and .
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