Corpus ID: 119658160

Sum of cubes is square of sum

@article{Barbeau2013SumOC,
  title={Sum of cubes is square of sum},
  author={E. Barbeau and Samer Seraj},
  journal={arXiv: Number Theory},
  year={2013}
}
  • E. Barbeau, Samer Seraj
  • Published 2013
  • Mathematics
  • arXiv: Number Theory
  • Inspired by the fact that the sum of the cubes of the firstn naturals is equal to the square of their sum, we explore, for eachn, 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. 

    References

    SHOWING 1-10 OF 12 REFERENCES
    Generalising ‘Sums of cubes equal to squares of sums’
    • 2
    Ingenuity in mathematics
    • 72
    On The Diophantine Equation x y z
    • 4
    Some remarks on the Diophantine equation
    • 8
    • PDF
    Pell's Equation
    • 46
    An Introduction to the Theory of Numbers
    • 3,173
    Égalités à deux degrés
    • 9
    • PDF
    Some Remarks on the Diophantine Equation x 3 + y 3 + z 3 = x + y + z
    • 2
    • Highly Influential
    Power Play
    • 54
    On the Diophantine equation x3 + y3 + z3 = x+ y + z
    • Proceedings of the American Mathematical Society,
    • 1966