An essay on irrationality measures of pi and other logarithms

Mathematics – Number Theory

Scientific paper

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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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