An Elementary Proof of the Irrationality of ζ(3) / Yu.V. Nesterenko // Vestn. Mosk. Univ., Matem. Mekhan. 2009. № 4. P. 28-35 [Moscow Univ. Math. Bulletin. Vol. 64, No 4, 2009. P. 165-171.]
An elementary proof of the irrationality of ζ(3) is presented. The proof is based on a two times more dense sequence of Diophantine approximations to this number than the sequence in the original proof of Apery.
Key words: irrationality, zeta-values, recurrence.