On Some Values of the Sandor-Smarandache Function

Authors

  • S. M. S. Islam Hajee Mohammad Danesh Science & Technology University, Dinajpur 5200, Bangladesh
  • A. A. K. Majumdar Beppu-shi Oaza Tsurumi, Renace Beppu #205, Beppu-shi 874-0842, Japan

DOI:

https://doi.org/10.3329/jsr.v14i1.52946

Abstract

The Sandor-Smarandache function, due to Sandor, has drawn the attention of the researchers soon after its introduction. The new Smarandache-type arithmetic function, denoted by SS (n), involves binomial coefficients. Sandor found SS(n) when n ( ³ 3) is an odd integer. It has been shown that the function has a simple form even when n is even and not divisible by 3. In earlier papers, some closed-form expressions of SS(n) have been derived for particular cases of n. Still, some unexplored results are needed to settle down the function. So, this study finds more forms of SS(n), starting from the function SS(24m). Particular attention has been focused on the functions SS(120m), SS(840m), SS(9240m) and SS(120120m).

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Published

2022-01-01

How to Cite

Islam, S. M. S. ., & Majumdar, A. A. K. (2022). On Some Values of the Sandor-Smarandache Function. Journal of Scientific Research, 14(1), 45–65. https://doi.org/10.3329/jsr.v14i1.52946

Issue

Vol. 14 No. 1 (2022)

Section

Section A: Physical and Mathematical Sciences

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.

© Journal of Scientific Research

Creative Commons License

Articles published in the "Journal of Scientific Research" are Open Access articles under a Creative Commons Attribution-ShareAlike 4.0 International license (CC BY-SA 4.0). This license permits use, distribution and reproduction in any medium, provided the original work is properly cited and initial publication in this journal. In addition to that, users must provide a link to the license, indicate if changes are made and distribute using the same license as original if the original content has been remixed, transformed or built upon.