Sum of Cubes is Square of Sum
Number Theory
2013-08-06 v1
Abstract
Inspired by the fact that the sum of the cubes of the first naturals is equal to the square of their sum, we explore, for each , the Diophantine equation representing all non-trivial sets of 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
Cite
@article{arxiv.1306.5257,
title = {Sum of Cubes is Square of Sum},
author = {Edward Barbeau and Samer Seraj},
journal= {arXiv preprint arXiv:1306.5257},
year = {2013}
}
Comments
Accepted for publication in NNTDM