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arXiv · 1604.01630

On linear independence measures of the values of Mahler functions

Keijo Väänänen·Wen Wu
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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.

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Keijo Väänänen, Wen Wu. 2016-04-06. On linear independence measures of the values of Mahler functions. https://arxiv.org/abs/1604.01630

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