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

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  • 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 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.

Cite this article

FENG Bin1,2,LIU Shuang3 . The Distribution for Some Certain Factorizations of the Natural Number in Arithmetic Progressions[J]. Journal of Shanghai Jiaotong University, 2017 , 51(11) : 1405 -1408 . DOI: 10.16183/j.cnki.jsjtu.2017.11.018

References

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