The Convergence of Smarandache Harmonic Series

The studies concerning the series with Smarandache numbers have been done recently and represents an important research direction on Smarandache' s notions. The question of convergence or divergence were resolved for several series and the sums of some series were proved to be irrational

SMARANDACHE FUNCTION JOURNAL, 1

This journal is yearly published (in the Spring or Fall) in a 300-400 pages volume, and 800-1000 copies. SNJ is a referred journal: reviewed, indexed, cited, concerning any of Smarandache type functions, numbers, sequences, integer algorithms, paradoxes, Non-Euclidean geometries, etc

SOME NEW RESULTS CONCERNING THE SMARANDACHE CEIL FUNCTION

In this article authors present two new results concerning the Smarandache Ceil function

SMARANDACHE FUNCTION JOURNAL, 2-3

This journal is yearly published (in the Spring or Fall) in a 300-400 pages volume, and 800-1000 copies. SNJ is a referred journal: reviewed, indexed, cited, concerning any of Smarandache type functions, numbers, sequences, integer algorithms, paradoxes, Non-Euclidean geometries, etc

SMARANDACHE FUNCTION JOURNAL, 6

This journal is yearly published (in the Spring or Fall) in a 300-400 pages volume, and 800-1000 copies. SNJ is a referred journal: reviewed, indexed, cited, concerning any of Smarandache type functions, numbers, sequences, integer algorithms, paradoxes, Non-Euclidean geometries, etc

ERDOS-SMARANDACHE NUMBERS

The starting point of this article is represented by a recent work of Finch [2000]. Based on two asymptotic results concerning the Erdos function, he proposed some interesting equations concerning the moments of the· Smarandache function. The aim of this note is give a bit modified proof and to show some computation results for one of the Finch equation. We will call the numbers obtained from computation 'the Erdos-Smarandache Numbers'. The ErdosSmarandache number of order 1 is obtained to be the Golomb-Dickman constant

SMARANDACHE FUNCTION JOURNAL, 4-5

This journal is yearly published (in the Spring or Fall) in a 300-400 pages volume, and 800-1000 copies. SNJ is a referred journal: reviewed, indexed, cited, concerning any of Smarandache type functions, numbers, sequences, integer algorithms, paradoxes, Non-Euclidean geometries, etc

A PARALLEL LOOP SCHEDULING ALGORITHM BASED ON THE SMARANDACHE f-INFERIOR PART FUNCTION

This article presents an application of the inferior Smarandache f-part function to a particular parallel loop-scheduling problem. The product between an upper diagonal matrix and a vector is analysed from parallel computation point of view. An efficient solution for this problem is given by using the inferior Smarandache I-part function. Finally, the efficiency of our solution is proved experimentally by presenting some computational results

About Smarandache-Multiplicative Functions

The main objective of this note is to introduce the notion of the S-multiplicative function and to give some simple properties concerning it. The name of S-multiplicative is short for Smarandache-multiplicative and reflects the main equation of the Smarandache function

THE A VERAGE OF THE ERDOS FUNCTION

The aim of this article is to establish the complexity order of the Erdos function average. This will be studied based on some recent results about the Smarandache function