ON SOME VALUES OF THE SANDOR-SMARANDACHE FUNCTION PDF Download
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Author: A.A.K. Majumdar
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 11
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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
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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
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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 : 7
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Book Description
This paper is on certain new inequalities and limits for the Smarandache Function.
Author: J. Sandor
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 11
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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: A. A. K. Majumdar
Publisher: Infinite Study
ISBN: 159973124X
Category : Mathematics
Languages : en
Pages : 217
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Book Description
This book covers only a part of the wide and diverse field of the Smarandache Notions, andcontains some of the materials that I gathered as I wandered in the world of Smarandache. Mostof the materials are already published in different journals, but some materials are new andappear for the first time in this book. All the results are provided with proofs._ Chapter 1 gives eleven recursive type Smarandache sequences, namely, the SmarandacheOdd, Even, Prime Product, Square Product (of two types), Higher Power Product (of twotypes), Permutation, Circular, Reverse, Symmetric and Pierced Chain sequences_ Chapter 2 deals with the Smarandache Cyclic Arithmetic Determinant and BisymmetricArithmetic Determinant sequences, and series involving the terms of the Smarandachebisymmetric determinant natural and bisymmetric arithmetic determinant sequences_ Chapter 3 treats the Smarandache function S(n)_ Chapter 4 considers, in rather more detail, the pseudo Smarandache function Z(n)_ And the Smarandache S-related and Z-related triangles are the subject matter of Chapter 5.To make the book self-contained, some well-known results of the classical Number Theory aregiven in Chapter 0. In order to make the book up-to-date, the major results of other researchersare also included in the book.At the end of each chapter, several open problems are given.
Author: Hailong Li
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 4
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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: Charles Ashbacher
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 368
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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
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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 : 213
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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: 1879585685
Category :
Languages : en
Pages : 211
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Book Description
