Download or read book On the mean value of the Pseudo Smarandache function written by Lin Cheng and published by Infinite Study. This book was released on with total page 4 pages. Available in PDF, EPUB and Kindle. Book excerpt: For any positive integer n, the Pseudo-Smarandache function Z(n) is defined as the smallest positive integer k.

Download or read book On the mean value of the Near Pseudo Smarandache Function written by Hai Yang and published by Infinite Study. This book was released on with total page 5 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main purpose of this paper is using the analytic method to study the asymptotic properties of the Near Pseudo Smarandache Function, and give two interesting asymptotic formulae for it.

Download or read book On the Pseudo Smarandache Squarefree function and Smarandache function written by Xuhui Fan and published by Infinite Study. This book was released on with total page 5 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main purpose of this paper is using the elementary methods to study the mean value properties of the Pseudo-Smarandache-Squarefree function and Smarandache function, and give two sharper asymptotic formulas for it.

Download or read book Research on Smarandache Problems in Number Theory collected papers Vol I written by Wenpeng Zhang and published by Infinite Study. This book was released on 2005-01-01 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Download or read book On the F Smarandache function and its mean value written by Zhongtian Lv and published by Infinite Study. This book was released on with total page 5 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main purpose of this paper is using the elementary methods to study a mean value problem involving the F.Smarandache function, and give a sharper asymptotic formula for it.

Download or read book On a dual of the Pseudo Smarandache function written by Jozsef Sandor and published by Infinite Study. This book was released on with total page 6 pages. Available in PDF, EPUB and Kindle. Book excerpt: We have defined certain generalizations and extensions of the Smarandache function.

Download or read book Scientia Magna Vol 3 No 3 2007 written by Zhang Wenpeng and published by Infinite Study. This book was released on with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt: Papers on some faces of Smarandache semigroups' concept in transformation semigroups' approach, the hybrid power mean of the character sums and the general Kloosterman sums, an equation involving the square sum of natural numbers and Smarandache primitive function, Some Dirichlet series involving special sequences, and other similar topics. Contributors: F. Ayatollah, G. Feng, N. Quang, P. Tuan, A.A.K. Majumdar, Y. Wang, B.E. Carvajal-Gamez, C. Aguilar-Chavez, L. Cheng, and many others.

Download or read book On the near pseudo Smarandache function written by Yongfeng Zhang and published by Infinite Study. This book was released on with total page 4 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main purpose of this paper is using the elementary method to study the calculating problem of an infinite series involving the near pseudo Smarandache function K(n), and give an exact calculating formula.

Download or read book SCIENTIA MAGNA International Book Series vol 12 no 1 written by Huaning Liu and published by Infinite Study. This book was released on with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: Scientia Magna international book series publish original research articles in all areas of mathematics and mathematical sciences. However, papers related to Smarandache’s problems will be highly preferred.

Download or read book SCIENTIA MAGNA An international journal Vol 12 No 1 2017 written by Jing Huang and published by Infinite Study. This book was released on 2017-07-01 with total page 159 pages. Available in PDF, EPUB and Kindle. Book excerpt: Scientia Magna is a peer-reviewed, open access journal that publishes original research articles in all areas of mathematics and mathematical sciences. However, papers related to Smarandache’s problems will be highly preferred.

Download or read book Some properties of the Pseudo Smarandache function written by Richard Pinch and published by Infinite Study. This book was released on with total page 6 pages. Available in PDF, EPUB and Kindle. Book excerpt: CharlesAshbacher hasposedanumberofquestionsrelatingtopseudo-Smarandachefunction Z(n).

Download or read book Scientia Magna Vol 2 No 2 2006 written by Zhang Wenpeng and published by Infinite Study. This book was released on with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of The Second Northwest Conference on Number Theory and Smarandache Problems in China.

Download or read book A generalization of the Smarandache function written by Hailong Li and published by Infinite Study. This book was released on with total page 4 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Scientia Magna Vol 4 No 4 2008 written by Zhang Wenpeng and published by Infinite Study. This book was released on with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt: Papers on an equation involving the Smarandache function and its positive integer solutions, the Smarandache kn-digital subsequence, the Smarandache 3n-digital sequence and the Zhang Wenpeng's conjecture, the quintic supported spline wavelets with numerical integration and similar topics. Contributors: A. A. Majumdar, B. Chen, C. Shi, S. Wang, L. Zhang, A. Saeid, M. Haveshki, T. Veluchamy, P.S.Sivakkumar, and others.

Download or read book On the pseudo Smarandache function written by Henry Ibstedt and published by Infinite Study. This book was released on with total page 8 pages. Available in PDF, EPUB and Kindle. Book excerpt: This study originates from questions posed on alternating iterations involving the pseudo-Smarandache function Z(n) and the Euler function. Interesting questions have been resolved through the surprising involvement of Fermat numbers

Download or read book Smarandache Function Journal vol 12 2001 written by Charles Ashbacher and published by Infinite Study. This book was released on with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: A collection of papers concerning Smarandache type functions, numbers, sequences, inteqer algorithms, paradoxes, experimental geometries, algebraic structures, neutrosophic probability, set, and logic, etc.

Download or read book Scientia Magna Vol 4 No 1 2008 written by Zhang Wenpeng and published by Infinite Study. This book was released on 2008 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of the Fourth International Conference on Number Theory and Smarandache Problems.