You are here

Sums of Powers of Integers

Year of Award: 1997

Publication Information: The American Mathematical Monthly, vol. 103, 1996, pp. 201-213

Summary: This paper generalizes the well-known fact that "the sum of the first \(n\) positive cubes is the square of the sum of the first \(n\) positive numbers."  The generalization examines any polynomial relationship between "the sum of the first \(n\) positive \(j\) th powers" and "the sum of the first \(n\) positive \(k\)th powers" for any \(j\) and \(k\).

Read the Article:

About the Author: A.F. Beardon was at Cambridge University at the time of publication

Author (old format): 
A.F. Beardon
Author(s): 
A.F. Beardon
Flag for Digital Object Identifier: 
Publication Date: 
Tuesday, September 23, 2008
Publish Page: 
Summary: 

This paper generalizes the well-known fact that "the sum of the first \(n\) positive cubes is the square of the sum of the first \(n\) positive numbers." The generalization examines any polynomial relationship between "the sum of the first \(n\) positive \(j\) th powers" and "the sum of the first \(n\) positive \(k\)th powers" for any \(j\) and \(k\).

Dummy View - NOT TO BE DELETED