**An Introduction to the Smarandache Function**

by Charles Ashbacher

**Publisher**: Erhus Univ Pr 1995**ISBN/ASIN**: 1879585499**ISBN-13**: 9781879585492**Number of pages**: 62

**Description**:

As one of the oldest mathematical disciplines, the roots of number theory extend back into antiquity. Problems are often easy to state, but extremely difficult to solve, which is the origin of their charm. All mathematicians have a soft spot in their hearts for the "purity" of the integers. In the 1970's a Rumanian mathematician Florentin Smarandache created a new function in number theory.
The consequences of its simple definition encompass many areas of mathematics. The purpose of this text is to examine some of those consequences, giving the reader a taste for this unexplored territory.

Download or read it online for free here:

**Download link**

(1.6MB, PDF)

## Similar books

**Algorithms for Modular Elliptic Curves**

by

**J. E. Cremona**-

**Cambridge University Press**

The author describes the construction of modular elliptic curves giving an algorithm for their computation. Then algorithms for the arithmetic of elliptic curves are presented. Finally, the results of the implementations of the algorithms are given.

(

**9965**views)

**Arithmetic Duality Theorems**

by

**J.S. Milne**-

**BookSurge Publishing**

This book, intended for research mathematicians, proves the duality theorems that have come to play an increasingly important role in number theory and arithmetic geometry, for example, in the proof of Fermat's Last Theorem.

(

**10204**views)

**Lectures on Shimura Varieties**

by

**A. Genestier, B.C. Ngo**

The goal of these lectures is to explain the representability of moduli space abelian varieties with polarization, endomorphism and level structure, due to Mumford and the description of the set of its points over a finite field, due to Kottwitz.

(

**4493**views)

**Langlands Correspondence for Loop Groups**

by

**Edward Frenkel**-

**Cambridge University Press**

This book provides a review of an important aspect of the geometric Langlands program - the role of representation theory of affine Kac-Moody algebras. It provides introductions to such notions as vertex algebras, the Langlands dual group, etc.

(

**4553**views)