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。
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