English

An elementary proof of Apery's theorem

Number Theory 2010-01-13 v1 Classical Analysis and ODEs

Abstract

We present a new `elementary' proof of the irrationality of ζ(3)\zeta(3) based on some recent `hypergeometric' ideas of Yu.Nesterenko, T.Rivoal, and K.Ball, and on Zeilberger's algorithm of creative telescoping.

Cite

@article{arxiv.math/0202159,
  title  = {An elementary proof of Apery's theorem},
  author = {Wadim Zudilin},
  journal= {arXiv preprint arXiv:math/0202159},
  year   = {2010}
}

Comments

8 pages