Ramanujan-type formulae for $1/\pi$: the art of translation
Number Theory
2013-12-03 v2 Classical Analysis and ODEs
Abstract
We outline an elementary method for proving numerical hypergeometric identities, in particular, Ramanujan-type identities for . 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.
Keywords
Cite
@article{arxiv.1302.0548,
title = {Ramanujan-type formulae for $1/\pi$: the art of translation},
author = {Jesús Guillera and Wadim Zudilin},
journal= {arXiv preprint arXiv:1302.0548},
year = {2013}
}
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15 pages