An essay on irrationality measures of pi and other logarithms

Wadim Zudilin

An essay on irrationality measures of pi and other logarithms

Number Theory 2007-05-23 v2 Classical Analysis and ODEs

Authors: Wadim Zudilin

Abstract

We present a brief survey of the methods used in deducing upper estimates for irrationality measures of the logarithm values. We particularly expose the best known estimates for $\log2$ (due to E. Rukhadze), $\pi$ (due to M. Hata) and $\log3$ (due to G. Rhin).

Keywords

irrationality measures pi logarithms upper estimates survey

Cite

@article{arxiv.math/0404523,
  title  = {An essay on irrationality measures of pi and other logarithms},
  author = {Wadim Zudilin},
  journal= {arXiv preprint arXiv:math/0404523},
  year   = {2007}
}

Comments

16 pages, LaTeX

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