English

Diophantine sets and Dirichlet improvability

Number Theory 2022-08-24 v1

Abstract

This note pushes further the discussion about relations between Dirichlet improvable, badly approximable and singular points held in recent joint work with Beresnevich, Guan, Velani and Ramirez, by considering Diophantine sets extending the notion of badly approximability.

Keywords

Cite

@article{arxiv.2201.11093,
  title  = {Diophantine sets and Dirichlet improvability},
  author = {Antoine Marnat},
  journal= {arXiv preprint arXiv:2201.11093},
  year   = {2022}
}
R2 v1 2026-06-24T09:04:09.168Z