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 : J. Sandor
Publisher : Infinite Study
Page : 11 pages
File Size : 32,2 MB
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The famous Smarandache function, this arithmetical function is connected to the number of divisors of n, and other important number theoretic functions.
Author : Hailong Li
Publisher : Infinite Study
Page : 4 pages
File Size : 47,45 MB
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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 : Leonardo Motta
Publisher : Infinite Study
Page : 368 pages
File Size : 37,85 MB
Release : 2001-01-01
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ISBN : 1931233284
Author : Marius Coman
Publisher : Infinite Study
Page : 136 pages
File Size : 12,98 MB
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ISBN : 1599732521
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 : V. Seleacu
Publisher : Infinite Study
Page : 325 pages
File Size : 35,21 MB
Release : 2000-08-01
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ISBN : 1879585782
Author : Aldo Peretti
Publisher : Infinite Study
Page : 12 pages
File Size : 18,68 MB
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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.
Author : Charles Ashbacher
Publisher : Infinite Study
Page : 368 pages
File Size : 42,63 MB
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A collection of papers concerning Smarandache type functions, numbers, sequences, inteqer algorithms, paradoxes, experimental geometries, algebraic structures, neutrosophic probability, set, and logic, etc.
Author : W. B. Vasantha Kandasamy
Publisher : Infinite Study
Page : 418 pages
File Size : 49,17 MB
Release : 2004-01-01
Category : Number theory
ISBN : 1931233799
Papers concerning any of the Smarandache type functions, sequences, numbers, algorithms, inferior/superior f-parts, magic squares, palindromes, functional iterations, semantic paradoxes, Non-Euclidean geometries, manifolds, conjectures, open problems, algebraic structures, neutrosophy, neutrosophic logic/set/probability, hypothesis that there is no speed barrier in the universe, quantum paradoxes, etc. have been selected for this volume. Contributors are from Australia, China, England, Germany, India, Ireland, Israel, Italy, Japan, Malaysia, Morocco, Portugal, Romania, Spain, USA. Most of the papers are in English, a few of them are in Spanish, Portuguese, or German.
Author : V. Seleacu
Publisher : Infinite Study
Page : 327 pages
File Size : 35,67 MB
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A collection of papers concerning Smarandache type functions, numbers, sequences, inteqer algorithms, paradoxes, experimental geometries, algebraic structures, neutrosophic probability, set, and logic, etc.
Author : Sabin Tabirca
Publisher : Infinite Study
Page : 418 pages
File Size : 19,68 MB
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ISBN :
A collection of papers concerning Smarandache type functions, numbers, sequences, inteqer algorithms, paradoxes, experimental geometries, algebraic structures, neutrosophic probability, set, and logic, etc.