ON THE LINEAR INDEPENDENCE MEASURES OF LOGARITHMS OF RATIONAL NUMBERS. II

被引：0

作者：

Bouchelaghem, Abderraouf ^{[1
]}

He, Yuxin ^{[1
]}

Li, Yuanhang ^{[1
]}

Wu, Qiang ^{[1
]}

机构：

[1] Southwest Univ China, Dept Math, Tiansheng Rd Beibei, Chongqing 400715, Peoples R China

来源：

JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY | 2024年 / 61卷 / 02期

关键词：

Irrationality measure; linear independence measure; saddle point method; IRRATIONALITY MEASURE; APPROXIMATIONS; PADE;

D O I：

10.4134/JKMS.j230133

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we give a general method to compute the linear independence measure of 1, log(1 - 1/r), log(1 + 1/s) for infinitely many integers r and s. We also give improvements for the special cases when r = s, for example, nu (1, log 3/4, log 5/4) <= 9.197.

引用

页码：293 / 307

页数：15

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