Ramanujan vs. Apery: $1/\pi$ vs. $\zeta(3)$
by Wadim Zudilin
Abstract: In 1914 S. Ramanujan recorded a list of 17 series for $1/\pi$. In 1978 R. Ap\'ery showed the irrationality of $\zeta(3)$. These are two seemingly unrelated results, although in both Ramanujan's and Ap\'ery's cases there were just hints on how the things might be proven; rigorous proofs appeared somewhat later. The aim of my talk is to show some common grounds and beauty of the two discoveries, as well as to indicate some recent novelties in the subject.
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