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Second International Conference on Smarandache Type Notions In Mathematics and Quantum Physics
December 21-24, 2000
University of Craiova
Craiova, Romania

Organizers
Minh Perez (American Research Press, Rehoboth, Box 141, NM 87301, USA), Vasile Seleacu (University of Craiova, Department of Mathematics, Craiova, Romania)

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A dual of the Pseudo-Smarandache function
by
J. Sandor
Babes-Bolyai University, Cluj, Romania

In paper [1] (see also [2]) we have introduced certain generalizations of the Smarandache function. The Pseudo-Smarandache function is also a particular case. We have introduced dual functions,too. In this paper we study the dual of the Pseudo-Smarandache function, denoted by Z*(n) = max{ m: m(m+1)/2 divides n} We consider certain elementary properties, limits and inequalities for this function. At the end, two irrational series involving Z*(n) are pointed out. References 1. J. Sandor, On certain generalizations of the Smarandache function, Notes Numb.Theory Discr.Math. 5(1999), No.2, 41-51. 2. J. Sandor, On certain generalizations of the Smarandache function, Smarandache Notions J. 11(2000), No.1-3,202-212.

Date received: November 14, 2000

Copyright © 2000 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caft-21.