A Set of New Smarandache Functions, Sequences and Conjectures in Number Theory PDF Download
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Author: Felice Russo
Publisher:
ISBN: 9781461929857
Category : Smarandache notions
Languages : en
Pages : 114
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Author: Felice Russo
Publisher: Infinite Study
ISBN: 1879585839
Category : Smarandache function
Languages : en
Pages : 108
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Book Description
Author: Felice Russo
Publisher:
ISBN: 9780608219479
Category :
Languages : en
Pages : 114
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Book Description
Author: Felice Russo
Publisher:
ISBN:
Category :
Languages : en
Pages : 0
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Made available online by the Smarandache Notion Journal and the University of New Mexico - Gallup.
Author: Florentin Smarandache
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 84
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Book Description
New sequences are introduced in number theory, and for each one a general question: how many primes each sequence has.
Author: Florentin Smarandache
Publisher: Infinite Study
ISBN: 1599730065
Category : Mathematics
Languages : en
Pages : 141
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Book Description
Over 300 sequences and many unsolved problems and conjectures related to them are presented herein. The book contains 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, etc. ).
Author: Marius Coman
Publisher: Infinite Study
ISBN: 1599732769
Category :
Languages : en
Pages : 85
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Book Description
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.
Author: Marius Coman
Publisher: Infinite Study
ISBN: 1599732521
Category :
Languages : en
Pages : 136
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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.
Author: R. Muller
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 69
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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: 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: Charles Ashbacher
Publisher: Infinite Study
ISBN: 1879585502
Category : Smarandache notions
Languages : en
Pages : 75
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Book Description
