The famous Smarandache function, this arithmetical function is connected to the number of divisors of n, and other important number theoretic functions.

This function is a generalization of the famous Smarandache function S(n). The main purpose of this paper is using the elementary and analytic methods to study

Articles, notes and problems on Smarandache Function, Pseudo-Smarandache function, Smarandache-simple functions, Inferior Smarandache Prime Part, Smarandache do