Given an positive integer n, we define the Smarandache power functions SP(n) as follows: SP(n) = min{m : n|mm, m ∈ N}. In this paper, we study the mean value distribution property of SP(n), and obtain a sharper asymptotic formula for the mean value of the Smarandache power function.
Zhe Feng XU.
On the Mean Value of the Smarandache Power Function. Acta Mathematica Sinica, Chinese Series, 2006, 49(1): 77-80 https://doi.org/10.12386/A2006sxxb0011