Corpus ID: 117829947

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

@article{Guillera2013RamanujantypeFF,
  title={Ramanujan-type formulae for \$1/\pi\$: The art of translation},
  author={Jes{\'u}s Guillera and Wadim Zudilin},
  journal={arXiv: Number Theory},
  year={2013}
}
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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