An essay on irrationality measures of pi and other logarithms

Details An essay on irrationality measures of pi and other logarithms An essay on irrationality measures of pi and other logarithms

2004-04-29

arxiv.org/abs/math/0404523v2

Chebyshevskii Sbornik 5:2 (2004), Tula State Pedagogical University, 49--65 (Russian)

Mathematics

Number Theory

16 pages, LaTeX

Scientific paper

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).

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