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    • 冯彬,刘双,秦小二.无平方因子整数上的反正弦律[J].数学年刊A辑,2024,45(4):401~408
    无平方因子整数上的反正弦律
    Arcsin Law on Divisors over Square-free Integers
    Received:February 23, 2024  Revised:November 16, 2024
    DOI：10.16205/j.cnki.cama.2024.0027
    中文关键词:  Selberg-Delange方法  反正弦律  无平方因子整数  
    英文关键词:Selberg-Delange method, Arcsin law, Square-free integers
    基金项目:重庆第二师范学院高层次引进人才项目(No.235032)； 重庆市教育委员会项目(No.KJQN202403202)
    Author NameAffiliation
    FENG Bin School of Mathematics and Big Data, Chongqing University of Education, Chongqing 400065, China. 
    LIU Shuang College of General Education, Chongqing Industry Polytechnical College, Chongqing 401120, China. 
    QIN Xiaoer School of Mathematics and Big Data, Chongqing University of Education, Chongqing 400065, China. 
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    中文摘要:
          作者证明了无平方因子整数上的Deshouillers-Dress-Tenenbaum反正弦律,该定理改进了第一作者和崔振在短区间上的结果.
    英文摘要:
          In this paper, the authors prove that Deshouillers-Dress-Tenenbaum’s arcsin law on divisors also holds if they restrict on square-free integers and improve a similar result of Feng & Cui in short intervals.
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