Skip to Main Content
Number Theory and its Applications
book

Number Theory and its Applications

by Satyabrota Kundu, Supriyo Mazumder
January 2022
Intermediate to advanced content levelIntermediate to advanced
366 pages
9h 15m
English
CRC Press
Content preview from Number Theory and its Applications

6 Arithmetic Functions

“Mathematics is the queen of sciences and number theory is the queen of mathematics.”

– Carl Friedrich Gauss

6.1 Introduction

There are few functions of special importance in connection with the study of the divisors of an integer. Any function whose domain of definition is the set of integers is known as the arithmetic function.

Present chapter treats multiplicative functions defined on integers, having the property that there is value at the product of two relatively prime integers equal to the product of the value of the function at these integers. In this chapter several results about multiplicative functions are done that will be used later on. We also define the sum of divisors and the number of divisors functions. ...

Become an O’Reilly member and get unlimited access to this title plus top books and audiobooks from O’Reilly and nearly 200 top publishers, thousands of courses curated by job role, 150+ live events each month,
and much more.
Start your free trial

You might also like

Elementary Number Theory with Programming

Elementary Number Theory with Programming

Marty Lewinter, Jeanine Meyer
Advanced Mathematics

Advanced Mathematics

Stanley J. Farlow
Good Math

Good Math

Mark C. Chu-Carroll

Publisher Resources

ISBN: 9781000562583