Sum of cubes is square of sum

Edward Barbeau and Samer Seraj
Notes on Number Theory and Discrete Mathematics, ISSN 1310–5132
Volume 19, 2013, Number 1, Pages 1–13
Full paper (PDF, 163 Kb)

Details

Authors and affiliations

Edward Barbeau
University of Toronto, Canada

Samer Seraj
University of Toronto, Canada

Abstract

Inspired by the fact that the sum of the cubes of the first n naturals is equal to the square of their sum, we explore, for each n, the Diophantine equation representing all non-trivial sets of n integers with this property. We find definite answers to the standard question of infinitude of the solutions as well as several other surprising results.

Keywords

• Diophantine equation
• CS-set

AMS Classification

• 11D25

References

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