Journal of Shanghai Jiaotong University ›› 2017, Vol. 51 ›› Issue (11): 1405-1408.doi: 10.16183/j.cnki.jsjtu.2017.11.018

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The Distribution for Some Certain Factorizations of the Natural Number in Arithmetic Progressions

FENG Bin1,2,LIU Shuang3   

  1. 1. College of Mathematics and Statistics, Yangtze Normal University, Chongqing 408100, China; 2. School of Mathematical Sciences, Shanghai Jiao Tong University, Shanghai 200240, China; 3. Department of Basic Courses, Chongqing Industry Polytechnical College, Chongqing 401120, China
  • Online:2017-11-30 Published:2017-11-30
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Abstract: The distribution for some certain factorizations of the natural number in arithmetic progressions was studied and an asymptotic formula was obtained by Selberg-Delange method and Perron’s formula. The formula is unconditional.

Key words: Selberg-Delange method, arithmetic progressions, Perron’s formula

CLC Number: