A simplification of Ap\'ery's proof of the irrationality of zeta(3)
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math.COmath.DS
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proofirrationalitypresentedsimplificationzetaapproximationsariseconclusive
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A simplification of Ap\'ery's proof of the irrationality of \zeta(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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