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arXiv · 0706.2858

Smarandache Type Function Obtained by Duality

C. Dumitrescu·N. Virlan·St. Zamfir·E. Radescu·N. Radescu·F. Smarandache
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Abstract

In this paper we extend the Smarandache function from the set $N*$ of positive integers to the set $Q$ 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.

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BibTeXRIS

C. Dumitrescu, N. Virlan, St. Zamfir, E. Radescu, N. Radescu, F. Smarandache. 2007-06-19. Smarandache Type Function Obtained by Duality. https://arxiv.org/abs/0706.2858

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