中文

某些Mahler函数值的联立逼近

数论 2016-06-29 v2

摘要

本文中,我们估计了某些Mahler函数值的联立逼近指数。为此,我们构造了所考虑函数的Hermite-Padé逼近,然后应用函数方程得到无穷逼近序列,并利用该序列获得的数值逼近。

关键词

引用

@article{arxiv.1505.00931,
  title  = {On simultaneous approximation of the values of certain Mahler functions},
  author = {Keijo Väänänen and Wen Wu},
  journal= {arXiv preprint arXiv:1505.00931},
  year   = {2016}
}

备注

16 pages, added Corollary 1, corrected Appendix C, improved the proof of Theorem 3, added and updated references