On the numbers that are sums of three cubes

Nikos Bagis

On the numbers that are sums of three cubes

General Mathematics 2020-09-28 v1

Authors: Nikos Bagis

Abstract

We examine what integers are representable as sums of three cubes. We also provide formulas for the number of representations of $x^3+y^3+z^3=n$ under the condition $x+y+z=t$ . Also we show how the problem of three cubes is related to $abc-$ conjecture.

Keywords

sums of three cubes representations of integers abc conjecture diophantine equations

Cite

@article{arxiv.2009.11972,
  title  = {On the numbers that are sums of three cubes},
  author = {Nikos Bagis},
  journal= {arXiv preprint arXiv:2009.11972},
  year   = {2020}
}

Comments

15 pages

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