On the irrationality exponent of the number ln 2

@article{Nesterenko2010OnTI,
  title={On the irrationality exponent of the number ln 2},
  author={Y. Nesterenko},
  journal={Mathematical Notes},
  year={2010},
  volume={88},
  pages={530-543}
}
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. 
On the irrationality exponent of the regular paperfolding numbers
On the irrationality measure of certain numbers
Irrationality measure of the number
Approximation of values of the Gauss hypergeometric function by rational fractions
On Catalan’S constant
Square exponent of irrationality of ln2
...
1
2
...

References

SHOWING 1-10 OF 18 REFERENCES
...
1
2
...