英文论文
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文献类型
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Article
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题名
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Generalizations of the Erd?s-Kac Theorem and the Prime Number Theorem
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作者
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Wang, Biao; Wei, Zhining; Yan, Pan; Yi, Shaoyun
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作者单位
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[Wang, Biao] Chinese Acad Sci, Acad Math & Syst Sci, Hua Loo Keng Ctr Math Sci, Beijing 100190, Peoples R China. [Wei, Zhining] Ohio State Univ, Dept Math, Columbus, OH 43210 USA. [Yan, Pan] Univ Arizona, Dept Math, Tucson, AZ 85721 USA. [Yi, Shaoyun] Xiamen Univ, Sch Math Sci, Xiamen 361005, Fujian, Peoples R China.
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通讯作者地址
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Chinese Acad Sci, Acad Math & Syst Sci, Hua Loo Keng Ctr Math Sci, Beijing 100190, Peoples R China.
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Email
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wangbiao@amss.ac.cn; wei.863@osu.edu; panyan@arizona.edu; yishaoyun926@xmu.edu.cn
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ResearchID
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ORCID
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期刊名称
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COMMUNICATIONS IN MATHEMATICS AND STATISTICS
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出版社
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SPRINGER HEIDELBERG
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ISSN
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2194-6701
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出版信息
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2025-10, 13 (5):1177-1197.
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JCR
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影响因子
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ISBN
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基金
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China Postdoctoral Science Foundation [12288201]; National Natural Science Foundation of China [2021TQ0350]; China Postdoctoral Science Foundation
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会议名称
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会议地点
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会议开始日期
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会议结束日期
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关键词
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Erd & odblac;s-Kac Theorem; Erd & odblac;s-Pomerance Theorem; Largest prime factor; Prime Number Theorem
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摘要
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In this paper, we study the linear independence between the distribution of the number of prime factors of integers and that of the largest prime factors of integers. Under a restriction on the largest prime factors of integers, we will refine the Erd & odblac;s-Kac Theorem and Loyd's recent result on Bergelson and Richter's dynamical generalizations of the Prime Number Theorem, respectively. At the end, we will show that the analogue of these results holds with respect to the Erd & odblac;s-Pomerance Theorem as well.
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一级学科
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Mathematics
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WOS入藏号
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WOS:001581867500004
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EI收录号
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DOI
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10.1007/s40304-023-00354-6
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ESI
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收录于
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SCIE
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