journal6 ›› 2013, Vol. 34 ›› Issue (5): 3-5.DOI: 10.3969/j.issn.1007-2985.2013.05.002

• Mathematics • Previous Articles     Next Articles

Mean Value of Divisor Function for Smarandache k-Power Complements

 HUANG  Wei, MA  Yan   

  1. (1.Department of  Basic Courses,Baoji Vocational and Technical College,Baoji 721013,Shaanxi China;2.Department of Ecomomics and Management,Baoji University of Arts and Sciences,Baoji 721013,Shaanxi China)
  • Online:2013-09-25 Published:2013-11-04

Abstract: Let n be positive integer,the Smarandache k-power complements Ak(n) is defined as the smallest integer m such that mn is perfect k-th  power.The mean value of τ(Ak(n)) is studied and an asymptotic formula is given by the analytic integral methods.

Key words: divisor function, k-power complement, mean value, asymptotic formula

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