On Smarandache's Podaire Theorem

A few remarks on Smarandache's Podaire Theorem

On an additive analogue of the function S

Approaching an "additive analogue function", which is defined on a subset of real numbers

On Certain Arithmetic Functions

In the recent book there appear certain arithmetic functions which are similar to the Smarandache function. In a recent paper we have considered certain generalization or duals of the Smarandache function. In this note we wish to point out that the arithmetic functions introduced all are particular cases of our function Fj, defined in the following manner