Some Results on the Sandor-Smarandache Function


Book Description

Sandor introduced a new Smarandache-type function, denoted by SS(n), and is called the Sandor-Smarandache function. When n is an odd (positive) integer, then SS(n) has a very simple form, as has been derived by Sandor himself. However, when n is even, then the form of SS(n) is not simple, and remains an open problem. This paper finds SS(n) for some special cases of n. Particular attention is given to values of the general forms SS(2mp), SS(6mp), SS(60mp) and SS(420mp), where m is any (positive) integer and p is an odd prime. Some particular cases have been treated in detail. In Section 4, some remarks are observed.




On certain generalizations of the Smarandache


Book Description

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




A generalization of the Smarandache function


Book Description

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 the mean value properties of P(n), and give two interesting mean value formulas for it.




Smarandache Function Journal, vol. 10/1999


Book Description

A collection of papers concerning Smarandache type functions, numbers, sequences, inteqer algorithms, paradoxes, experimental geometries, algebraic structures, neutrosophic probability, set, and logic, etc.




Smarandache Function Journal, vol. 12/2001


Book Description

A collection of papers concerning Smarandache type functions, numbers, sequences, inteqer algorithms, paradoxes, experimental geometries, algebraic structures, neutrosophic probability, set, and logic, etc.




Smarandache Function Journal, vol. 11/2000


Book Description

A collection of papers concerning Smarandache type functions, numbers, sequences, inteqer algorithms, paradoxes, experimental geometries, algebraic structures, neutrosophic probability, set, and logic, etc.




Smarandache Notions, Vol. 10


Book Description




Scientia Magna, Vol. 4, No. 1, 2008


Book Description

Proceedings of the Fourth International Conference on Number Theory and Smarandache Problems.




Smarandache Function Journal, vol. 7/1996


Book Description

A collection of papers concerning Smarandache type functions, numbers, sequences, inteqer algorithms, paradoxes, experimental geometries, algebraic structures, neutrosophic probability, set, and logic, etc.