Some Results on the Sandor-Smarandache Function

Some Results on the Sandor-Smarandache Function
Author: S. M. S. Islam
Publisher: Infinite Study
Total Pages: 12
Release:
Genre: Mathematics
ISBN:

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.

SOME CONNECTIONS BETWEEN THE SMARANDACHE FUNCTION AND THE FIBONACCI SEQUENCE

SOME CONNECTIONS BETWEEN THE SMARANDACHE FUNCTION AND THE FIBONACCI SEQUENCE
Author: C. Dumitrescu
Publisher: Infinite Study
Total Pages: 11
Release:
Genre:
ISBN:

This paper is aimed to provide generalizations of the Smarandache function. They will be constructed by means of sequences more general than the sequence of the factorials. Such sequences are monotonously convergent to zero sequences and divisibility sequences (in particular the Fibonacci sequence).

Smarandache Function Journal, vol. 10/1999

Smarandache Function Journal, vol. 10/1999
Author: V. Seleacu
Publisher: Infinite Study
Total Pages: 213
Release:
Genre:
ISBN:

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. 7/1996

Smarandache Function Journal, vol. 7/1996
Author: V. Seleacu
Publisher: Infinite Study
Total Pages: 154
Release:
Genre:
ISBN:

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, Vol. 4-5

Smarandache Function, Vol. 4-5
Author: C. Dumitrescu
Publisher: Infinite Study
Total Pages: 51
Release: 2000-08-01
Genre: Mathematics
ISBN: 1879585812

The Smarandache function, say S, is a numerical function defined such that for every positive integer n, its image S(n) is the smallest positive integer whole factorial is divisible by n.