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.

引用

页码：1297 / 1311

页数：15