Smarandache Type Function Obtained by Duality

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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.
15 pages, one figure

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General Mathematics, 11A25

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http://salesiana.dossiersoluciones.com/handle/123456789/132029

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0706.2858
 http://arxiv.org/abs/0706.2858
 Studii si Cercetari Stiintifice, Seria: Matematica, University of Bacau, No. 9, pp. 49-72, 1999

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arXiv