An elementary proof of Apery's theorem

Details An elementary proof of Apery's theorem An elementary proof of Apery's theorem

2002-02-17

arxiv.org/abs/math/0202159v1

"Ap\'ery's theorem. Thirty years after", Intern. J. Math. Computer Sci. 4 (2009), no. 1, 9--19

Mathematics

Number Theory

8 pages

Scientific paper

We present a new `elementary' proof of the irrationality of $\zeta(3)$ 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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