Various Arithmetic Functions and their Applications

By Cira, Octavian

Book Id: WPLBN0100303050
Format Type: PDF eBook:
File Size: 2.80 MB
Reproduction Date: 10/1/2016

Title:	Various Arithmetic Functions and their Applications
Author:	Cira, Octavian
Volume:
Language:	English
Subject:	Non Fiction, Science
Collections:	Authors Community, Mathematics
Historic Publication Date:	2016
Publisher:	Pons Editions

Member Page:	Infinite Science
Citation APA MLA Chicago Cira, B. O., & Smarandache, F. (2016). Various Arithmetic Functions and their Applications. Retrieved from http://www.gutenberg.cc/

Description
Over 300 sequences and many unsolved problems and conjectures related to them are presented herein. These notions, 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, so on, have been extracted from the Archives of American Mathematics (University of Texas at Austin) and Arizona State University (Tempe): "The Florentin Smarandache papers" special collections, University of Craiova Library, and Arhivele Statului (Filiala Vâlcea & Filiala Dolj, România). The book is based on various articles in the theory of numbers (starting from 1975), updated many times. This book was born from the collaboration of the two authors, which started in 2013. The first common work was the volume "Solving Diophantine Equations", published in 2014. The contribution of the authors can be summarized as follows: Florentin Smarandache came with his extraordinary ability to propose new areas of study in number theory, and Octavian Cira – with his algorithmic thinking and knowledge of Mathcad.