{"title":"某些无限有理数和的超越性","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":"{\"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}","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}
Transcendence of Certain Infinite Sums of Rational Numbers
. 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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