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An essay on irrationality measures of pi and other logarithms

Wadim Zudilin
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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), $π$ (due to M. Hata) and $\log3$ (due to G. Rhin).

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Wadim Zudilin. 2004-05-27. An essay on irrationality measures of pi and other logarithms. https://arxiv.org/abs/math/0404523

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