An elementary proof of Apery's theorem

preprint2002arXivOpen access

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

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An elementary proof of Apery's theorem

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