English

The Mordell-Schinzel conjecture for cubic diophantine equations

Number Theory 2024-12-17 v1 Algebraic Geometry

Abstract

Building on the works of Mordell (1952) and Schinzel (2015), we prove that cubic diophantine equations xyz=G(x,y)xyz=G(x,y) have infinitely many solutions.

Keywords

Cite

@article{arxiv.2412.12080,
  title  = {The Mordell-Schinzel conjecture for cubic diophantine equations},
  author = {János Kollár and Jennifer Li},
  journal= {arXiv preprint arXiv:2412.12080},
  year   = {2024}
}