Some Results on the Sandor-Smarandache Function

Authors

  • S. M. S. Islam Department of Mathematics, Hajee Mohammad Danesh Science and Technology University, Dinajpur-5200, Bangladesh
  • A. A. K. Majumdar Ritsumeikan Asia-Pacific University, Beppu-shi 874-8577, Japan

DOI:

https://doi.org/10.3329/jsr.v13i1.47721

Abstract

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.

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Published

2021-01-01

How to Cite

Islam, S. M. S., & Majumdar, A. A. K. (2021). Some Results on the Sandor-Smarandache Function. Journal of Scientific Research, 13(1), 73–84. https://doi.org/10.3329/jsr.v13i1.47721

Issue

Vol. 13 No. 1 (2021)

Section

Section A: Physical and Mathematical Sciences

License

© Journal of Scientific Research

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