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  • 标题:Some Results on the Sandor-Smarandache Function
  • 本地全文:下载
  • 作者:S. M. S. Islam ; A. A. K. Majumdar
  • 期刊名称:Journal of Scientific Research
  • 印刷版ISSN:2070-0237
  • 电子版ISSN:2070-0245
  • 出版年度:2021
  • 卷号:13
  • 期号:1
  • 页码:73-84
  • DOI:10.3329/jsr.v13i1.47721
  • 出版社:Rajshahi University
  • 其他摘要: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.
  • 关键词:Arithmetic function; Binomial coefficient; Diophantine equation; SandorSmarandache function
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