Author: Hailong Li
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 4
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.
A generalization of the Smarandache function
Author: Hailong Li
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 4
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.
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 4
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.
The Math Encyclopedia of Smarandache type Notions
Author: Marius Coman
Publisher: Infinite Study
ISBN: 1599732521
Category :
Languages : en
Pages : 136
Book Description
About the works of Florentin Smarandache have been written a lot of books (he himself wrote dozens of books and articles regarding math, physics, literature, philosophy). Being a globally recognized personality in both mathematics (there are countless functions and concepts that bear his name) and literature, it is natural that the volume of writings about his research is huge. What we try to do with this encyclopedia is to gather together as much as we can both from Smarandache’s mathematical work and the works of many mathematicians around the world inspired by the Smarandache notions. We structured this book using numbered Definitions, Theorems, Conjectures, Notes and Comments, in order to facilitate an easier reading but also to facilitate references to a specific paragraph. We divided the Bibliography in two parts, Writings by Florentin Smarandache (indexed by the name of books and articles) and Writings on Smarandache notions (indexed by the name of authors). We treated, in this book, about 130 Smarandache type sequences, about 50 Smarandache type functions and many solved or open problems of number theory. We also have, at the end of this book, a proposal for a new Smarandache type notion, id est the concept of “a set of Smarandache-Coman divisors of order k of a composite positive integer n with m prime factors”, notion that seems to have promising applications, at a first glance at least in the study of absolute and relative Fermat pseudoprimes, Carmichael numbers and Poulet numbers. This encyclopedia is both for researchers that will have on hand a tool that will help them “navigate” in the universe of Smarandache type notions and for young math enthusiasts: many of them will be attached by this wonderful branch of mathematics, number theory, reading the works of Florentin Smarandache.
Publisher: Infinite Study
ISBN: 1599732521
Category :
Languages : en
Pages : 136
Book Description
About the works of Florentin Smarandache have been written a lot of books (he himself wrote dozens of books and articles regarding math, physics, literature, philosophy). Being a globally recognized personality in both mathematics (there are countless functions and concepts that bear his name) and literature, it is natural that the volume of writings about his research is huge. What we try to do with this encyclopedia is to gather together as much as we can both from Smarandache’s mathematical work and the works of many mathematicians around the world inspired by the Smarandache notions. We structured this book using numbered Definitions, Theorems, Conjectures, Notes and Comments, in order to facilitate an easier reading but also to facilitate references to a specific paragraph. We divided the Bibliography in two parts, Writings by Florentin Smarandache (indexed by the name of books and articles) and Writings on Smarandache notions (indexed by the name of authors). We treated, in this book, about 130 Smarandache type sequences, about 50 Smarandache type functions and many solved or open problems of number theory. We also have, at the end of this book, a proposal for a new Smarandache type notion, id est the concept of “a set of Smarandache-Coman divisors of order k of a composite positive integer n with m prime factors”, notion that seems to have promising applications, at a first glance at least in the study of absolute and relative Fermat pseudoprimes, Carmichael numbers and Poulet numbers. This encyclopedia is both for researchers that will have on hand a tool that will help them “navigate” in the universe of Smarandache type notions and for young math enthusiasts: many of them will be attached by this wonderful branch of mathematics, number theory, reading the works of Florentin Smarandache.
SCIENTIA MAGNA: An international journal, Vol. 12, No. 1, 2017
Author: Jing Huang
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 159
Book Description
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.
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 159
Book Description
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.
SCIENTIA MAGNA – International Book Series (vol. 12, no. 1)
Author: Huaning Liu
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 160
Book Description
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.
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 160
Book Description
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.
Collected Papers, Vol. II
Author: Florentin Smarandache
Publisher: Infinite Study
ISBN: 193123342X
Category :
Languages : en
Pages : 202
Book Description
Publisher: Infinite Study
ISBN: 193123342X
Category :
Languages : en
Pages : 202
Book Description
Scientia Magna, Vol. 4, No. 1, 2008
Author: Zhang Wenpeng
Publisher: Infinite Study
ISBN: 1599730618
Category : Mathematics
Languages : en
Pages : 194
Book Description
Proceedings of the Fourth International Conference on Number Theory and Smarandache Problems.
Publisher: Infinite Study
ISBN: 1599730618
Category : Mathematics
Languages : en
Pages : 194
Book Description
Proceedings of the Fourth International Conference on Number Theory and Smarandache Problems.
Scientia Magna, Vol. 1, No. 1, 2005
Author: Zhang Wenpeng
Publisher: Infinite Study
ISBN: 1599730014
Category :
Languages : en
Pages : 222
Book Description
Collection of papers from various scientists dealing with smarandache notions in science.
Publisher: Infinite Study
ISBN: 1599730014
Category :
Languages : en
Pages : 222
Book Description
Collection of papers from various scientists dealing with smarandache notions in science.
NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS, VOLUME 9, NUMBER 2, 2003
Author: Aldo Peretti
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 12
Book Description
Articles, notes and problems on Smarandache Function, Pseudo-Smarandache function, Smarandache-simple functions, Inferior Smarandache Prime Part, Smarandache double factorial function, Generalized Smarandache Palindrome, Smarandache problems, Smarandache circular sequence etc.
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 12
Book Description
Articles, notes and problems on Smarandache Function, Pseudo-Smarandache function, Smarandache-simple functions, Inferior Smarandache Prime Part, Smarandache double factorial function, Generalized Smarandache Palindrome, Smarandache problems, Smarandache circular sequence etc.
Geometric Theorems and Arithmetic Functions
Author: József Sándor
Publisher: Infinite Study
ISBN: 1931233470
Category : Mathematics
Languages : en
Pages : 55
Book Description
Publisher: Infinite Study
ISBN: 1931233470
Category : Mathematics
Languages : en
Pages : 55
Book Description
Various Arithmetic Functions and their Applications
Author: Octavian Cira
Publisher: Infinite Study
ISBN: 1599733722
Category : Arithmetic functions
Languages : en
Pages : 402
Book Description
Over 300 sequences and many unsolved problems and conjectures related to them are presented herein. These notions, definitions, unsolved problems, questions, theorems corollaries, formulae, conjectures, examples, mathematical criteria, etc. on integer sequences, numbers, quotients, residues, exponents, sieves, pseudo-primes squares cubes factorials, almost primes, mobile periodicals, functions, tables, prime square factorial bases, generalized factorials, generalized palindromes, so on, have been extracted from the Archives of American Mathematics (University of Texas at Austin) and Arizona State University (Tempe): "The Florentin Smarandache papers" special collections, and Arhivele Statului (Filiala Vâlcea & Filiala Dolj, Romania). This book was born from the collaboration of the two authors, which started in 2013. The first common work was the volume "Solving Diophantine Equations", published in 2014. The contribution of the authors can be summarized as follows: Florentin Smarandache came with his extraordinary ability to propose new areas of study in number theory, and Octavian Cira - with his algorithmic thinking and knowledge of Mathcad.
Publisher: Infinite Study
ISBN: 1599733722
Category : Arithmetic functions
Languages : en
Pages : 402
Book Description
Over 300 sequences and many unsolved problems and conjectures related to them are presented herein. These notions, definitions, unsolved problems, questions, theorems corollaries, formulae, conjectures, examples, mathematical criteria, etc. on integer sequences, numbers, quotients, residues, exponents, sieves, pseudo-primes squares cubes factorials, almost primes, mobile periodicals, functions, tables, prime square factorial bases, generalized factorials, generalized palindromes, so on, have been extracted from the Archives of American Mathematics (University of Texas at Austin) and Arizona State University (Tempe): "The Florentin Smarandache papers" special collections, and Arhivele Statului (Filiala Vâlcea & Filiala Dolj, Romania). This book was born from the collaboration of the two authors, which started in 2013. The first common work was the volume "Solving Diophantine Equations", published in 2014. The contribution of the authors can be summarized as follows: Florentin Smarandache came with his extraordinary ability to propose new areas of study in number theory, and Octavian Cira - with his algorithmic thinking and knowledge of Mathcad.