A simplification of Apéry's proof of the irrationality of ζ(3)

Krishnan Rajkumar

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arXiv · 1212.5881

A simplification of Apéry's proof of the irrationality of ζ(3)

Krishnan Rajkumar

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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.

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Krishnan Rajkumar. 2012-12-24. A simplification of Apéry's proof of the irrationality of ζ(3). https://arxiv.org/abs/1212.5881

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