| In this paper, we study the divisibility of the Smarandache function and the solvability of equations related to the Smarandache function. By using the elementary and analytic methods, we establish a divisibility relationship for the Smarandache function. In a similar way, we study the solvability of some equa-tions which are composed with the Smarandache function, Smarandache recip-rocal function, Pseudo-Smarandache function, Pseudo-Smarandachc-square-free function, Dirichlet function, Euler function, and give all the positive integer solutions and the form of these solutions. |
