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arxiv: math/0404523 · v2 · submitted 2004-04-29 · 🧮 math.NT · math.CA

An essay on irrationality measures of pi and other logarithms

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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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