2012/12/24 by Krishnan Rajkumar, Rajkumar, Krishnan
Arts and Humanities · Health Professions · #Hermeneutics and Narrative Identity #Aging, Elder Care, and Social Issues #Health, Medicine and Society
paper · pdf · doi:10.48550/arxiv.1212.5881
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.