Abstract
We propose another method of deriving the Marcovecchio estimate for the irrationality measure of the number ln 2 following, for the most part, the method of proof of the irrationality of the number ζ(3) proposed by the author in 1996. The proof uses single complex integrals, the so-called Meyer G-functions, and is much simpler than that of Marcovecchio.
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Original Russian Text © Yu. V. Nesterenko, 2010, published in Matematicheskie Zametki, 2010, Vol. 88, No. 4, pp. 549–564.
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Nesterenko, Y.V. On the irrationality exponent of the number ln 2. Math Notes 88, 530–543 (2010). https://doi.org/10.1134/S0001434610090257
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DOI: https://doi.org/10.1134/S0001434610090257