Some Results on the Sandor-Smarandache Function

Some Results on the Sandor-Smarandache Function PDF

Author: S. M. S. Islam

Publisher: Infinite Study

Published:

Total Pages: 12

ISBN-13:

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Sandor introduced a new Smarandache-type function, denoted by SS(n), and is called the Sandor-Smarandache function. When n is an odd (positive) integer, then SS(n) has a very simple form, as has been derived by Sandor himself. However, when n is even, then the form of SS(n) is not simple, and remains an open problem. This paper finds SS(n) for some special cases of n. Particular attention is given to values of the general forms SS(2mp), SS(6mp), SS(60mp) and SS(420mp), where m is any (positive) integer and p is an odd prime. Some particular cases have been treated in detail. In Section 4, some remarks are observed.

ON CERTAIN INEQUALITIES INVOLVING THE SMARANDACHE FUNCTION

ON CERTAIN INEQUALITIES INVOLVING THE SMARANDACHE FUNCTION PDF

Author: Sandor Jozsef

Publisher: Infinite Study

Published:

Total Pages: 4

ISBN-13:

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The Smarandache function satisfies certain elementary inequalities which have importance in the deduction of properties of this (or related) functions. We quote here the following relations which have appeared in the Smarandache Function Journal.

Smarandache Function Journal, vol. 11/2000

Smarandache Function Journal, vol. 11/2000 PDF

Author: V. Seleacu

Publisher: Infinite Study

Published:

Total Pages: 327

ISBN-13:

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A collection of papers concerning Smarandache type functions, numbers, sequences, inteqer algorithms, paradoxes, experimental geometries, algebraic structures, neutrosophic probability, set, and logic, etc.

Smarandache Function Journal, vol. 10/1999

Smarandache Function Journal, vol. 10/1999 PDF

Author: V. Seleacu

Publisher: Infinite Study

Published:

Total Pages: 213

ISBN-13:

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A collection of papers concerning Smarandache type functions, numbers, sequences, inteqer algorithms, paradoxes, experimental geometries, algebraic structures, neutrosophic probability, set, and logic, etc.