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), $π$ (due to M. Hata) and $\log3$ (due to G. Rhin).
16 pages, LaTeX

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Number Theory, Classical Analysis and ODEs, 11J82 (Primary), 11J72, 33C05, 33C65 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/98185

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0404523
 http://arxiv.org/abs/math/0404523
 Chebyshevskii Sbornik 5:2 (2004), Tula State Pedagogical University, 49--65 (Russian)

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arXiv