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By V. V. (rs-mosc, Reviewed Angel, V. Kumchev, V. N. Sorokin and M. V. Keldysh


In 1978 R. Apéry constructed a sequence of rational approximations to ζ(3), which he used to prove that ζ(3) is irrational. In this paper, the author gives a similar construction of a sequence of rational approximations to ζ(5). While these approximations fail to establish the irrationality of ζ(5), they do provide a very efficient algorithm for computing its value

Year: 2013
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