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Relevant bibliographies by topics / Pseudo-Smarandache functions

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Academic literature on the topic 'Pseudo-Smarandache functions'

Author: Grafiati

Published: 3 June 2025

Last updated: 31 July 2025

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Journal articles on the topic "Pseudo-Smarandache functions"

1

Gunarto, Hary, S. M. S. Islam, and A. A. K. Majumdar. "Palindromes in Some Smarandache-Type Functions." Jurnal Matematika MANTIK 8, no. 1 (2022): 1–9. http://dx.doi.org/10.15642/mantik.2022.8.1.1-9.

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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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2

Islam, S. M. S., H. Gunarto, and A. A. K. Majumdar. "On the Sandor-Smarandache Function." Journal of Scientific Research 13, no. 2 (2021): 439–54. http://dx.doi.org/10.3329/jsr.v13i2.49965.

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In the current literature, a new Smarandache-type arithmetic function, involving binomial coefficients, has been proposed by Sandor. The new function, denoted by SS(n), is named the Sandor-Smarandache function. It has been found that, like many Smarandache-type functions, SS(n) is not multiplicative. Sandor found SS(n) when n (≥3) is an odd integer. Since then, the determination of SS(n) for even n remains a challenging problem. It has been shown that the function has a simple form even when n is even and not divisible by 3. This paper finds SS(n) in some particular cases of n, and finds an up

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3

Cheng, Bin. "On the pseudo Smarandache square-free function." Scientia Magna Vol. 4, No. 2 (2006): 21–24. https://doi.org/10.5281/zenodo.9286.

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4

Sandor, Jozsef. "On Additive Analogues of Certain Arithmetic Functions." April 30, 1994. https://doi.org/10.5281/zenodo.8777.

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5

A.S.Muktibodh and S.T.Rathod. "Pseudo-Smarandache Functions of First and Second Kind." August 29, 2011. https://doi.org/10.5281/zenodo.853094.

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In this paper we define two kinds of pseudo-Smarandache functions. We have investigated more than fifty terms of each pseudo-Smarandache function. We have proved some interesting results and properties of these functions.

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6

Muktibodh, A.S., and S.T. Rathod. "Pseudo-Smarandache Functions of First and Second Kind." October 4, 2011. https://doi.org/10.5281/zenodo.9526.

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In this paper we define two kinds of pseudo-Smarandache functions. We have investigated more than fifty terms of each pseudo-Smarandache function. We have proved some interesting results and properties of these functions

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7

Taekyun, Kim, Adiga C., and Hun Han Jung. "A NOTE ON q-ANALOGUE OF SANDOR’S FUNCTIONS." November 5, 2005. https://doi.org/10.5281/zenodo.32300.

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8

Adiga, C., Jung Hun Han, and Taekyun Kim. "A NOTE ON q-ANALOGUE OF SANDOR’S FUNCTIONS." November 15, 2005. https://doi.org/10.5281/zenodo.9640.

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The additive analogues of Pseudo-Smarandache, Smarandache-simple functions and their duals have been recently studied by J. Sandor. In this note, authors obtain q-analogues of Sandor’s theorems.

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9

Taekyun, Kim. "A note on q-nanlogue of Sandor's functions." September 3, 2008. https://doi.org/10.5281/zenodo.9336.

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10

Ashbacher, Charles. "The Pseudo-Smarandache Function and the Classical Functions of Number Theory." March 20, 2000. https://doi.org/10.5281/zenodo.9532.

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