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 jth powers" and "the sum of the first n positive kth powers" for any j and k.

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