English

A note on some Diophantine inequalities over adelic curves

Number Theory 2023-08-08 v1

Abstract

Without assuming the Northcott property we provide an upper bound on the number of "big solutions" of a special system of Diophantine inequalities over proper adelic curves. This system is interesting since it is a stronger version Roth's inequality for adelic curves.

Keywords

Cite

@article{arxiv.2308.02998,
  title  = {A note on some Diophantine inequalities over adelic curves},
  author = {Paolo Dolce},
  journal= {arXiv preprint arXiv:2308.02998},
  year   = {2023}
}

Comments

7 pages. Comments are welcome