Ramanujan-type formulae for $1/π$: A second wind?

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In 1914 S. Ramanujan recorded a list of 17 series for $1/π$. We survey the methods of proofs of Ramanujan's formulae and indicate recently discovered generalizations, some of which are not yet proven.
13 pages; v2: two typos corrected, references updated, numeration of formulae changed to agree with the published version

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Number Theory, Classical Analysis and ODEs, 11F11, 11Y60, 33C20 (Primary); 05A19, 11B65, 11J82, 11M06, 14H52, 14J32, 33C75, 33F10, 34M50, 40G99, 65B10, 65Q05 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/221163

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0712.1332
 http://arxiv.org/abs/0712.1332
 Modular Forms and String Duality, N. Yui, H. Verrill, and C.F. Doran (eds.), Fields Inst. Commun. Ser. 54 (2008), Amer. Math. Soc. & Fields Inst., 179--188

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arXiv