Smarandache Type Function Obtained by Duality
General Mathematics
2007-06-20 v1
Abstract
In this paper we extend the Smarandache function from the set of positive integers to the set pf rational numbers. Using the inverse formula, this function is also regarded as a generating function. We put in evidence a procedure to construct a (numerical) function starting from a given function in two particular cases. Also, connections between this function and Euler totient function as well as with Riemann zeta function are established.
Keywords
Cite
@article{arxiv.0706.2858,
title = {Smarandache Type Function Obtained by Duality},
author = {C. Dumitrescu and N. Virlan and St. Zamfir and E. Radescu and N. Radescu and F. Smarandache},
journal= {arXiv preprint arXiv:0706.2858},
year = {2007}
}