中文

与Littlewood猜想相关的劣逼近数

数论 2008-10-07 v1

摘要

借助Peres-Schlag方法,我们证明了存在实数α,β\alpha, \beta,使得 lim infq(qlog2q)αqβq>0. \liminf_{q\to \infty} (q\log^2 q)||\alpha q|| ||\beta q|| > 0.

关键词

引用

@article{arxiv.0810.0777,
  title  = {Badly approximable numbers related to the Littlewood conjecture},
  author = {Nikolay Moshchevitin},
  journal= {arXiv preprint arXiv:0810.0777},
  year   = {2008}
}

备注

5 pages