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On the linear independence measures of logarithms of rational numbers. II

Qiang Wu|Abderraouf Bouchelaghem|Yuxin He|Yuanhang Li
대한수학회 (The Korean Mathematical Society)|2024.03|대한수학회지 (Journal of the KMS)|제61권 제2호|pp. 293-307|DOI 10.4134/JKMS.j230133

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참고문헌

키워드

Irrationality measurelinear independence measuresaddle point method
주제분류수학

초록

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, $\nu(1, \log 3/4, \log 5/4) \leq 9.197$.

Abstract

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, $\nu(1, \log 3/4, \log 5/4) \leq 9.197$.

참고문헌 (21)

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