On linear independence measures of the values of Mahler functions
Number Theory
2016-04-07 v1
Abstract
In this paper, we estimate the linear independence measures for the values of a class Mahler functions of degree one and two. For the purpose, we study the determinants of suitable Hermite-Pad\'{e} approximation polynomials. Based on the non-vanishing of these determinants, we apply the functional equations to get an infinite sequence of approximations which is used to produce the linear independence measures.
Keywords
Cite
@article{arxiv.1604.01630,
title = {On linear independence measures of the values of Mahler functions},
author = {Keijo Väänänen and Wen Wu},
journal= {arXiv preprint arXiv:1604.01630},
year = {2016}
}
Comments
24 pages (including appendix)