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A Set of New Smarandache Functions, Sequences and Conjectures in Number Theory

By Felice Russo

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Book Id: WPLBN0002097083
Format Type: pdf
File Size: 407 KB
Reproduction Date: 9/1/2011
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Title: A Set of New Smarandache Functions, Sequences and Conjectures in Number Theory  
Author: Felice Russo
Language: English
Subject: Non Fiction, Education, Mathematics
Collections: Arithmetic, Mathematics, Mathematical Analysis, Special Collection Mathematics, Math, Astronomy, Authors Community, Statistics, Periodicals: Journal and Magazine Collection (Historic and Rare), Sociology, Literature, Most Popular Books in China, Law, Favorites in India, Education
Publication Date:
Publisher: American Research Press
Member Page: Florentin Smarandache


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Russo, F. (2000). A Set of New Smarandache Functions, Sequences and Conjectures in Number Theory. Retrieved from

I have met the Smarandache's world for the first time about one year ago reading some articles and problems published in the Journal of Recreational Mathematics. From then on I discovered the interesting American Research Press web site dedicated to the Smarandache notions and held by Dr. Perez (address:, the Smarandache Notions Journal always published by American Research Press, and several books on conjectures, functions, unsolved problems, notions and other proposed by Professor F. Smarandache in "The Florentin Smarandache papers" special collections at: the Arizona State University (Tempe, USA), Archives of American Mathematics (University of Texas at Austin, USA), University of Craiova Library (Romania), and Archives of State (Rm. Valcea, Romania). The Smarandache's universe is undoubtedly very fascinating and is halfway between the number theory and the recreational mathematics. Even though sometime this universe has a very simple structure from number theory standpoint, it doesn't cease to be deeply mysterious and interesting. This book, following the Smarandache spirit, presents new Smarandache functions, new conjectures, solved/unsolved problems, new Smarandache type sequences and new Smarandache Notions in number theory. Moreover a chapter (IV) is dedicated to the analysis of Smarandache Double factorial function introduced in number theory by F. Smarandache ("The Florentin Smarandache papers" special collection, University of Craiova Library, and Archivele Statului, Filiala Valcea) and another one (V) to the study of some conjectures and open questions proposed always by F. Smarandache. In particular we will analyse some conjectures on prime numbers and the generalizations of Goldbach conjecture. This book would be a telescope to explore and enlarge our knowledge on the Smarandache's universe. So let's start our observation.


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