ハリー グナルト
  GUNARTO Hary
   所属   立命館アジア太平洋大学  国際経営学部
   職種   教授
言語種別 英語
発行・発表の年月 2021/05
形態種別 学術論文
査読 査読あり
標題 On the Sandor-Smarandache Function
執筆形態 共著
掲載誌名 Journal of Scientific Research
掲載区分国外
巻・号・頁 13(2),pp.439-454
総ページ数 16
著者・共著者 S. M. Islam, H. Gunarto, A. Majumdar
概要 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 upper bound of SS(n) for some special forms of n. Some equations involving the Sandor-Smarandache function and pseudoSmarandache function have been studied. A list of values of SS(n) for n = 1(1)480, calculated on a computer, is appended at the end of the paper.
DOI https://doi.org/10.3329/jsr.v13i2.49965
ISSN 2070-0237
researchmap用URL https://www.semanticscholar.org/paper/On-the-Sandor-Smarandache-Function-Islam-Gunarto/0d393cc6a366548b32c0516c37c7754be6af72bf