ON SOME VALUES OF THE SANDOR-SMARANDACHE FUNCTION PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download ON SOME VALUES OF THE SANDOR-SMARANDACHE FUNCTION PDF full book. Access full book title ON SOME VALUES OF THE SANDOR-SMARANDACHE FUNCTION by A.A.K. Majumdar. Download full books in PDF and EPUB format.
Author: A.A.K. Majumdar
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 11
Get Book Here
Book Description
This paper finds SS(n) for some particular cases of n.
Author: A.A.K. Majumdar
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 11
Get Book Here
Book Description
This paper finds SS(n) for some particular cases of n.
Author: S. M. S. Islam
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 12
Get Book Here
Book Description
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.
Author: J. Sandor
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 11
Get Book Here
Book Description
The famous Smarandache function, this arithmetical function is connected to the number of divisors of n, and other important number theoretic functions.
Author: V. Seleacu
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 213
Get Book Here
Book Description
A collection of papers concerning Smarandache type functions, numbers, sequences, inteqer algorithms, paradoxes, experimental geometries, algebraic structures, neutrosophic probability, set, and logic, etc.
Author: Charles Ashbacher
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 368
Get Book Here
Book Description
A collection of papers concerning Smarandache type functions, numbers, sequences, inteqer algorithms, paradoxes, experimental geometries, algebraic structures, neutrosophic probability, set, and logic, etc.
Author: V. Seleacu
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 327
Get Book Here
Book Description
A collection of papers concerning Smarandache type functions, numbers, sequences, inteqer algorithms, paradoxes, experimental geometries, algebraic structures, neutrosophic probability, set, and logic, etc.
Author: Hailong Li
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 4
Get Book Here
Book Description
This function is a generalization of the famous Smarandache function S(n). The main purpose of this paper is using the elementary and analytic methods to study the mean value properties of P(n), and give two interesting mean value formulas for it.
Author: Zhang Wenpeng
Publisher: Infinite Study
ISBN: 1599730618
Category : Mathematics
Languages : en
Pages : 194
Get Book Here
Book Description
Proceedings of the Fourth International Conference on Number Theory and Smarandache Problems.
Author: V. Seleacu
Publisher: Infinite Study
ISBN: 1879585685
Category :
Languages : en
Pages : 211
Get Book Here
Book Description
Author: Wenpeng Zhang
Publisher: Infinite Study
ISBN: 1931233888
Category : Mathematics
Languages : en
Pages : 178
Get Book Here
Book Description
Number theory is an ancient subject, but we still cannot answer many simplest and most natural questions about the integers. Some old problems have been solved, but more arise. All the research for these ancient or new problems implicated and are still promoting the development of number theory and mathematics.American-Romanian number theorist Florentin Smarandache introduced hundreds of interest sequences and arithmetical functions, and presented many problems and conjectures in his life. In 1991, he published a book named Only problems, Not solutions!. He presented 105 unsolved arithmetical problems and conjectures about these functions and sequences in it. Already many researchers studied these sequences and functions from his book, and obtained important results.This book, Research on Smarandache Problems in Number Theory (Collected papers), contains 41 research papers involving the Smarandache sequences, functions, or problems and conjectures on them.All these papers are original. Some of them treat the mean value or hybrid mean value of Smarandache type functions, like the famous Smarandache function, Smarandache ceil function, or Smarandache primitive function. Others treat the mean value of some famous number theoretic functions acting on the Smarandache sequences, like k-th root sequence, k-th complement sequence, or factorial part sequence, etc. There are papers that study the convergent property of some infinite series involving the Smarandache type sequences. Some of these sequences have been first investigated too. In addition, new sequences as additive complement sequences are first studied in several papers of this book.Most authors of these papers are my students. After this chance, I hope they will be more interested in the mysterious integer and number theory!More future papers by my students will focus on the Smarandache notions, such as sequences, functions, constants, numbers, continued fractions, infinite products, series, etc. in number theory!List of the Contributors:Zhang Wenpeng, Xu Zhefeng, Zhang Xiaobeng, Zhu Minhui, Gao Nan, Guo Jinbao, He Yanfeng, Yang Mingshun, Li Chao, Gao Jing, Yi Yuan, Wang Xiaoying, Lv Chuan, Yao Weili, Gou Su, He Xiaolin, Li Hailong, Liu Duansen, Li Junzhuang, Liu Huaning, Zhang Tianping, Ding Liping, Li Jie, Lou Yuanbing, Zhao Xiqing, Zhao Xiaopeng, Yang Cundian, Liang Fangchi
