English

Generic points on exponential curves

Number Theory 2011-01-07 v4

Abstract

We show, assuming Schanuel's conjecture, that every irreducible complex polynomial in two variables where both variables appear has infinitely many algebraically independent solutions of the form (z,e^z).

Keywords

Cite

@article{arxiv.1003.4948,
  title  = {Generic points on exponential curves},
  author = {Ayhan Gunaydin and Amador Martin-Pizarro},
  journal= {arXiv preprint arXiv:1003.4948},
  year   = {2011}
}
R2 v1 2026-06-21T15:02:39.723Z