English

A note on weighted badly approximable linear forms

Number Theory 2015-03-18 v2

Abstract

We prove a result in the area of twisted Diophantine approximation related to the theory of Schmidt games. In particular, under certain restrictions we give a affirmative answer to the analogue in this setting of a famous conjecture of Schmidt from Diophantine approximation.

Keywords

Cite

@article{arxiv.1501.04433,
  title  = {A note on weighted badly approximable linear forms},
  author = {Stephen Harrap and Nikolay Moshchevitin},
  journal= {arXiv preprint arXiv:1501.04433},
  year   = {2015}
}

Comments

8 pages. Updated 17/03/15 to incorperate some very helpful observations from Sanju Velani

R2 v1 2026-06-22T08:05:28.344Z