journal6 ›› 2010, Vol. 31 ›› Issue (4): 8-9.

• Mathematics • Previous Articles     Next Articles

k-th Root Sequence Average Value Asymptotic  Formula


  1.  (Department of Basis,Baoji Vocational and Technical College,Baoji 721013,Shannxi China)
  • Online:2010-07-25 Published:2012-04-16

Abstract: Let  bk(n) be positive integer (n=1,2,…),that is the k-th root part.The main purpose of this paper is to study the asymptotic properties of the sequence {bk(n)}.Using the elementary method,two interesting hybrid asymptotic formulas involving this sequence {bk(n)} and the generalized Mangoldt function are given.

Key words: k-th root part sequence, generalized Mangoldt function, mean value, asymptotic formula

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