{"title":"关于等差数列中实数列分布的方差","authors":"Pengyong Ding","doi":"10.4064/aa221003-14-8","DOIUrl":null,"url":null,"abstract":"This article is composed of two parts. The first part concerns the general result on the variance associated with the distribution of a real sequence $\\{a_n\\}$ over arithmetic progressions, and the second part is an example of calculating the variance whe","PeriodicalId":37888,"journal":{"name":"Acta Arithmetica","volume":"26 1","pages":"0"},"PeriodicalIF":0.5000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On a variance associated with the distribution of real sequences in arithmetic progressions\",\"authors\":\"Pengyong Ding\",\"doi\":\"10.4064/aa221003-14-8\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This article is composed of two parts. The first part concerns the general result on the variance associated with the distribution of a real sequence $\\\\{a_n\\\\}$ over arithmetic progressions, and the second part is an example of calculating the variance whe\",\"PeriodicalId\":37888,\"journal\":{\"name\":\"Acta Arithmetica\",\"volume\":\"26 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.5000,\"publicationDate\":\"2023-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Acta Arithmetica\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.4064/aa221003-14-8\",\"RegionNum\":3,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Acta Arithmetica","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.4064/aa221003-14-8","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
On a variance associated with the distribution of real sequences in arithmetic progressions
This article is composed of two parts. The first part concerns the general result on the variance associated with the distribution of a real sequence $\{a_n\}$ over arithmetic progressions, and the second part is an example of calculating the variance whe
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