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Applications Of Smarandache Function Prime And Coprime Functions


Applications Of Smarandache Function Prime And Coprime Functions
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Applications Of Smarandache Function Prime And Coprime Functions


Applications Of Smarandache Function Prime And Coprime Functions
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Author : Sebastián Martín Ruiz
language : en
Publisher: Infinite Study
Release Date : 2001

Applications Of Smarandache Function Prime And Coprime Functions written by Sebastián Martín Ruiz and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Mathematics categories.




Applications Of Smarandache Function And Prime And Coprime Functions


Applications Of Smarandache Function And Prime And Coprime Functions
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Author : Sebastián Martín Ruiz
language : en
Publisher:
Release Date : 2014-05-14

Applications Of Smarandache Function And Prime And Coprime Functions written by Sebastián Martín Ruiz and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-14 with MATHEMATICS categories.




The Math Encyclopedia Of Smarandache Type Notions


The Math Encyclopedia Of Smarandache Type Notions
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Author : Marius Coman
language : en
Publisher: Infinite Study
Release Date :

The Math Encyclopedia Of Smarandache Type Notions written by Marius Coman 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.


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.



Mathematical Reviews


Mathematical Reviews
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Author :
language : en
Publisher:
Release Date : 2004

Mathematical Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Mathematics categories.




Propiedades Y Problemas Relacionados Con Las Funciones De Smarandache


Propiedades Y Problemas Relacionados Con Las Funciones De Smarandache
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Author : Sebastián Martín Ruiz
language : un
Publisher: Infinite Study
Release Date :

Propiedades Y Problemas Relacionados Con Las Funciones De Smarandache written by Sebastián Martín Ruiz 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.


In this paper we present the definitions and some properties of several Smarandache type functions that are involved in many proposed solved and unsolved problems and conjectures in number theory and recreational mathematics. Examples are also provided. Interesting problems related to them are proposed as addenda to this article.



Indian Science Abstracts


Indian Science Abstracts
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Author :
language : en
Publisher:
Release Date : 2000-05

Indian Science Abstracts written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-05 with Science categories.




Aplicaciones De La Funcion De Smarandache Y Las Funciones Prima Y Coprima


Aplicaciones De La Funcion De Smarandache Y Las Funciones Prima Y Coprima
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Author : Sebastian Martin Ruiz
language : es
Publisher: Infinite Study
Release Date : 2002

Aplicaciones De La Funcion De Smarandache Y Las Funciones Prima Y Coprima written by Sebastian Martin Ruiz and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Mathematics categories.


Un libro para los amantes de los numeros:La funcion de Smarandache aplicada a los numeros perfectos, congruencias.Tambien, las funciones prima y coprima de Smarandacheen conexion con expresiones de los numeros primos.



Conjectures On Primes And Fermat Pseudoprimes Many Based On Smarandache Function


Conjectures On Primes And Fermat Pseudoprimes Many Based On Smarandache Function
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Author : Marius Coman
language : en
Publisher: Infinite Study
Release Date :

Conjectures On Primes And Fermat Pseudoprimes Many Based On Smarandache Function written by Marius Coman 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.


It is always difficult to talk about arithmetic, because those who do not know what is about, nor do they understand in few sentences, no matter how inspired these might be, and those who know what is about, do no need to be told what is about. Arithmetic is that branch of mathematics that you keep it in your soul and in your mind, not in your suitcase or laptop. Part One of this book of collected papers aims to show new applications of Smarandache function in the study of some well known classes of numbers, like Sophie Germain primes, Poulet numbers, Carmichael numbers ets. Beside the well-known notions of number theory, we defined in these papers the following new concepts: “Smarandache-Coman divisors of order k of a composite integer n with m prime factors”, “Smarandache-Coman congruence on primes”, “Smarandache-Germain primes”, Coman-Smarandache criterion for primality”, “Smarandache-Korselt criterion”, “Smarandache-Coman constants”. Part Two of this book brings together several papers on few well known and less known types of primes.



Bounding The Smarandache Function


Bounding The Smarandache Function
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Author : MARK FARRIS
language : en
Publisher: Infinite Study
Release Date :

Bounding The Smarandache Function written by MARK FARRIS 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 observation illustrates the importance of being able to calculate the Smarandache function for prime powers. This paper will be considering that process.



The Classical Smarandache Function And A Formula For Twin Primes


The Classical Smarandache Function And A Formula For Twin Primes
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Author : Dhananjay P. Mehendale
language : en
Publisher: Infinite Study
Release Date :

The Classical Smarandache Function And A Formula For Twin Primes written by Dhananjay P. Mehendale 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 short paper presents an exact formula for counting twin prime pairs less than or equal to x in terms of the classical Smarandache Function.