Palindromes in Some Smarandache-Type Functions

Authors

  • Hary Gunarto Ritsumeikan Asia-Pacific University, Beppu, Oita, Japan
  • S.M.S. Islam Hajee Danesh University of Science & Technology, Dinajpur, Bangladesh
  • A.A.K. Majumdar Ritsumeikan Asia-Pacific University, Beppu, Oita, Japan

DOI:

https://doi.org/10.15642/mantik.2022.8.1.1-9

Keywords:

Smarandache function, Sandor-Smarandache function, Palindromes

Abstract

The objective of this paper is to investigate palindromes in three Smarandache-type arithmetic functions,
namely, the Smarandache function S(n), the pseudo Smarandache function Z(n), and the Sandor-Smarandache function SS(n).

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References

C. Ashbacher, “Pluckings from the tree of Smarandache sequences and functions”, American Research Press, Lupton, AZ, USA. 1998.

H. Ibstedt, “Palindrome studies (part 1): The palindrome concept and its applications to prime numbers”, Scientia Magna, 2(4), 101 – 116, 2006.

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H. Ibsted, “The Florentin Smarandache function S(n)”, 1993, 38 – 50.

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H. Liu, “A survey on Smarandache notions in Number theory II : Pseudo-Smarandache functions”, Scientia Magna, 12(1), 145 – 153, 2017.

H. Gunarto and A.A.K. Majumdar, “On numerical values of Z(n)”, Research on Number Theory and Smarandache Notions (Proceedings of the 5th International Conference on Number Theory and Smarandache Notions; Ed. Zhang Wengpeng), 34 – 57, 2009.

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S.M.S. Islam and A.A.K. Majumdar, “Some results on the Sandor-Smarandache function”, Journal of Scientific Research, 13(1), 73 – 84, 2021.

S.M.S. Islam, H. Gunarto and A.A.K.Majumdar, “On the Sandor-Smarandache function”, Journal of Scientific Research, 13(2), 439 – 454, 2021.

A.A.K. Majumdar and A.K.Z. Ahmed, “A Note on the Sandor-Smarandache Function”, Journal of Bangladesh Academy of Sciences, 45(2), 255 – 258, 2021 (Short Communication).

S.M.S. Islam and A.A.K. Majumdar, “On Some Values of the Sandor-Smarandache Function”, Journal of Scientific Research, 14(1), 45 – 65, 2022.

J. Earls, “Recursive palindromic Smarandache values”, Scientia Magna, 1(2), 176 – 178, 2005.

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Published

2022-05-30

How to Cite

Gunarto, H., Islam, S. ., & Majumdar, A. (2022). Palindromes in Some Smarandache-Type Functions . Jurnal Matematika MANTIK, 8(1), 1–9. https://doi.org/10.15642/mantik.2022.8.1.1-9

Issue

Vol. 8 No. 1 (2022): April - June

Section

Articles

License

Copyright (c) 2022 Hary Gunarto, S.M.S. Islam, A.A.K. Majumdar

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