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Some Hybrid Mean Values of a New Number Theoretic Function 被引量:1

Some Hybrid Mean Values of a New Number Theoretic Function
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摘要 Let p and q be two distinct primes, epq(n) denotes the largest exponent of power pq which divides n. In this paper, we study the mean value properties of function epq(n), and give some hybrid mean value formulas for epq(n) and Dirichlet divisor function d(n). Key words: largest exponent; asymptotic formula; hybrid mean value; Dirichlet divisor function d(n)
作者 REN Gang-lian
出处 《Chinese Quarterly Journal of Mathematics》 CSCD 北大核心 2008年第3期325-329,共5页 数学季刊(英文版)
基金 the NSF(60472068) the PSF of China(2004A09)
关键词 largest exponent asymptotic formula hybrid mean value Dirichlet divisor function d(n) 新数论 函数 混合均值 数学分析
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参考文献4

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  • 2ZHANG Wen-peng. Reseach on Smarandache Problems in Number Theory[M]. Phoenix: Hexis Publishing House, 2004.
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同被引文献6

  • 1SMARANDACHE F. Only problems, not solutions[ M]. Chicago: Xiquan Publishing House, 1993.
  • 2ZHANG Tian-ping. On the k-power free number sequence[ J ]. Smarandache Notions Journal, 2004, 14 ( 1 ) : 62 - 65.
  • 3CHEN Jong-yi. Some asymptote related to k-th-power free numbers[ J]. Taiwan Residents Journal of Mathematics, 2006, 10(2) : 409 -415.
  • 4APOSTOL T M. Introduction to analytic number theory[ M]. New York: Springer-Verlag, 1976.
  • 5PAN Cheng-dong,PAN Cheng-biao. Foundation of analytic number theory[ M]. Beijing: Science Press Providence, 1997.
  • 6张天平.关于m次剩余数与无k次幂因子数的混合均值[J].黑龙江大学自然科学学报,2003,20(4):11-14. 被引量:3

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