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arXiv · 1302.0548

Ramanujan-type formulae for $1/\pi$: the art of translation

Jesús Guillera·Wadim Zudilin
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Abstract

We outline an elementary method for proving numerical hypergeometric identities, in particular, Ramanujan-type identities for $1/\pi$. The principal idea is using algebraic transformations of arithmetic hypergeometric series to translate non-singular points into singular ones, where the required constants can be computed using asymptotic analysis.

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Jesús Guillera, Wadim Zudilin. 2013-02-03. Ramanujan-type formulae for $1/\pi$: the art of translation. https://arxiv.org/abs/1302.0548

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