Smarandache Type Function Obtained by Duality

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dc.creatorDumitrescu, C.
dc.creatorVirlan, N.
dc.creatorZamfir, St.
dc.creatorRadescu, E.
dc.creatorRadescu, N.
dc.creatorSmarandache, F.
dc.date2007-06-19
dc.date.accessioned2026-07-07T08:11:08Z
dc.date.available2026-07-07T08:11:08Z
dc.descriptionIn 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.
dc.description15 pages, one figure
dc.identifierhttps://arxiv.org/abs/0706.2858
dc.identifierhttp://arxiv.org/abs/0706.2858
dc.identifierStudii si Cercetari Stiintifice, Seria: Matematica, University of Bacau, No. 9, pp. 49-72, 1999
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/132029
dc.subjectGeneral Mathematics
dc.subject11A25
dc.titleSmarandache Type Function Obtained by Duality
dc.typetext

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