On linear independence measures of the values of Mahler functions

被引：1
|
作者：
Vaananen, Keijo [1 ]
Wu, Wen [2 ]
机构：
[1] Univ Oulu, Dept Math Sci, POB 3000, Oulu 90014, Finland
[2] South China Univ Technol, Sch Math, Guangzhou 510641, Guangdong, Peoples R China
来源：
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS | 2018年 / 148卷 / 06期
基金：
芬兰科学院;
关键词：
linear form; Mahler function; Hermite-Pade approximation; GENERATING-FUNCTIONS; CONTINUED FRACTIONS; SEQUENCE; NUMBERS; APPROXIMATIONS;
D O I：
10.1017/S0308210518000148
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We estimate the linear independence measures for the values of a class of Mahler functions of degrees 1 and 2. For this purpose, we study the determinants of suitable Hermite-Pade approximation polynomials. Based on the non-vanishing property of these determinants, we apply the functional equations to get an infinite sequence of approximations that is used to produce the linear independence measures.
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页码：1297 / 1311
页数：15
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