English

Simultaneous equal sums of three powers

Number Theory 2007-05-23 v1 Algebraic Geometry

Abstract

Using a recent result of Salberger, we establish the paucity of non-trivial positive integer solutions to a certain system of diagonal Diophantine equations.

Keywords

Cite

@article{arxiv.math/0509152,
  title  = {Simultaneous equal sums of three powers},
  author = {T. D. Browning and D. R. Heath-Brown},
  journal= {arXiv preprint arXiv:math/0509152},
  year   = {2007}
}

Comments

7 pages