A simplification of Apéry's proof of the irrationality of ζ(3)
arXiv:1212.5881
Abstract
A simplification of Apéry's proof of the irrationality of ζ(3) is presented. The construction of approximations is motivated from the viewpoint of 2-dimensional recurrence relations which simplifies many of the details of the proof. Conclusive evidence is also presented that these constructions arise from a continued fraction due to Ramanujan.
7 pages, presented in the conference 'The Legacy of Srinivasa Ramanujan', Delhi, 2012