{"title":"Transcendence of Certain Infinite Sums of Rational Numbers","authors":"A. Deajim","doi":"10.4197/SCI.25-1.7","DOIUrl":null,"url":null,"abstract":". Letting be a sequence of positive rational numbers, we give a sufficient condition under which the series ∑ ∞ converges to a transcendental number. Some applications and illustrative corollaries are included.","PeriodicalId":16197,"journal":{"name":"Journal of King Abdulaziz University-science","volume":"27 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2013-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of King Abdulaziz University-science","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.4197/SCI.25-1.7","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
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Abstract
. Letting be a sequence of positive rational numbers, we give a sufficient condition under which the series ∑ ∞ converges to a transcendental number. Some applications and illustrative corollaries are included.
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