On Some Values Of The Sandor Smarandache Function
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On Some Values Of The Sandor Smarandache Function
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Author : A.A.K. Majumdar
language : en
Publisher: Infinite Study
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On Some Values Of The Sandor Smarandache Function written by A.A.K. Majumdar and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.
This paper finds SS(n) for some particular cases of n.
Some Results On The Sandor Smarandache Function
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Author : S. M. S. Islam
language : en
Publisher: Infinite Study
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Some Results On The Sandor Smarandache Function written by S. M. S. Islam and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.
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.
On Certain Generalizations Of The Smarandache
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Author : J. Sandor
language : en
Publisher: Infinite Study
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On Certain Generalizations Of The Smarandache written by J. Sandor and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
The famous Smarandache function, this arithmetical function is connected to the number of divisors of n, and other important number theoretic functions.
On Certain Inequalities Involving The Smarandache Function
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Author : Sandor Jozsef
language : en
Publisher: Infinite Study
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On Certain Inequalities Involving The Smarandache Function written by Sandor Jozsef and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
The Smarandache function satisfies certain elementary inequalities which have importance in the deduction of properties of this (or related) functions. We quote here the following relations which have appeared in the Smarandache Function Journal.
Wandering In The World Of Smarandache Numbers
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Author : A. A. K. Majumdar
language : en
Publisher: Infinite Study
Release Date : 2010
Wandering In The World Of Smarandache Numbers written by A. A. K. Majumdar and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Mathematics categories.
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.
An Algorithm For Calculating Smarandache S Function And Wich Using Legendre S Formula
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Author : Tatiana-Corina Dosescu
language : en
Publisher: Infinite Study
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An Algorithm For Calculating Smarandache S Function And Wich Using Legendre S Formula written by Tatiana-Corina Dosescu and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.
The paper presents a calculation algorithm for the values of the function S, defined by Fl. Smarandache [6], [1], [4], [5], an algorithm that uses the writing of numbers in base ten and it is based on Legendre's formula and some theoretical results. It differs from the one presented in [8], which avoids factorization, and from the one presented in [6], which requires writing on a generalized basis. Then a characterization of a prime number is given. Finally, a numerical application is presented.The paper presents a calculation algorithm for the values of the function S, defined by Fl. Smarandache [6], [1], [4], [5], an algorithm that uses the writing of numbers in base ten and it is based on Legendre's formula and some theoretical results. It differs from the one presented in [8], which avoids factorization, and from the one presented in [6], which requires writing on a generalized basis. Then a characterization of a prime number is given. Finally, a numerical application is presented.
Calculating Smarandache Function In Parallel
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Author : Sabin Tabirca
language : en
Publisher: Infinite Study
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Calculating Smarandache Function In Parallel written by Sabin Tabirca and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
This article prests an efficient method to calculate in papallel the values of the Smarandache Function.
Scientia Magna Vol 3 No 3 2007
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Author : Zhang Wenpeng
language : en
Publisher: Infinite Study
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Scientia Magna Vol 3 No 3 2007 written by Zhang Wenpeng and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
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.
Smarandache Function Vol 2 3
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Author : C. Dumitrescu
language : en
Publisher: Infinite Study
Release Date : 2000-08-01
Smarandache Function Vol 2 3 written by C. Dumitrescu and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-08-01 with Mathematics categories.
Made available online by the Smarandache Notion Journal and the University of New Mexico - Gallup.
Some Remarks On The Smarandache Function
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Author : M. Andrei
language : en
Publisher: Infinite Study
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Some Remarks On The Smarandache Function written by M. Andrei and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
On the method of calculus proposed by Florentin Smarandache.
