Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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ON THE LINEAR INDEPENDENCE MEASURES OF LOGARITHMS OF RATIONAL NUMBERS. II

  • Abderraouf Bouchelaghem (Department of Mathematics Southwest University of China) ;
  • Yuxin He (Department of Mathematics Southwest University of China) ;
  • Yuanhang Li (Department of Mathematics Southwest University of China) ;
  • Qiang Wu (Department of Mathematics Southwest University of China)
  • Received : 2023.03.13
  • Accepted : 2023.10.19
  • Published : 2024.03.01
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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, ν(1, log 3/4, log 5/4) ≤ 9.197.

Keywords

Acknowledgement

This work was supported by the Natural Science Foundation of China (Grant no. 12071375).

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