On the irrationality exponent of the number ln 2
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 wordsirrational number Marcovecchio estimate irrationality measure irrationality exponent Meyer G-function saddle-point method
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