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Mathematical Notes

, Volume 88, Issue 3–4, pp 530–543 | Cite as

On the irrationality exponent of the number ln 2

  • Yu. V. Nesterenko
Article

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.

Key words

irrational number Marcovecchio estimate irrationality measure irrationality exponent Meyer G-function saddle-point method 

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Copyright information

© Pleiades Publishing, Ltd. 2010

Authors and Affiliations

  1. 1.Moscow State UniversityMoscowRussia

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