Let n be a positive integer,IK(n)be the smallest k-th greater than or equal to n,andFK(n)= IK(n)-n,Uses the primary method and the analysis method. the research is similar in A new define arithmetical function the Mean value nature. a sharper mean value asymptotic formulae about it are given.
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张 拓. 一个数论函数及其均值[J]. 科学技术与工程, 2010, (28): . Zhang tuo. An arithmetical function and its mean value[J]. Science Technology and Engineering,2010,(28).