journal6 ›› 2012, Vol. 33 ›› Issue (1): 1-2.DOI: 10.3969/j.issn.1007-2985.2012.01.001

• Mathematics •     Next Articles

Prime Factor Function Distribution Properties of Mean


  1. (School of Mathematics and Computer Science,Yan’an University,Yan’an 716000,Shaanxi China)
  • Online:2012-01-25 Published:2012-04-26

Abstract: Elementary method and analytic method are used to study the mean value properties of all prime factor function Ω(n)  and k-th complement function fk(n),and thus an interesting asymptotic formula is given,which perfects  the research and application of prime factor function and complement function in number theory.

Key words: function of prime factor, k-th subtraction complement, asymptotic formula

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