On the mean value of the Smarandache ceil function

نویسنده

  • Wang Xiaoying
چکیده

For any fixed positive integer n, the Smarandache ceil function of order k is denoted by N∗ → N and has the following definition: Sk(n) = min{x ∈ N : n | x}, ∀n ∈ N∗. In this paper, we study the mean value properties of the Smarandache ceil function, and give a sharp asymptotic formula for it.

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تاریخ انتشار 2013