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

dc.creatorZudilin, Wadim
dc.date2007-12-09
dc.date2008-05-19
dc.date.accessioned2026-07-07T12:45:47Z
dc.date.available2026-07-07T12:45:47Z
dc.descriptionIn 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.
dc.description13 pages; v2: two typos corrected, references updated, numeration of formulae changed to agree with the published version
dc.identifierhttps://arxiv.org/abs/0712.1332
dc.identifierhttp://arxiv.org/abs/0712.1332
dc.identifierModular 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
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/221163
dc.subjectNumber Theory
dc.subjectClassical Analysis and ODEs
dc.subject11F11, 11Y60, 33C20 (Primary); 05A19, 11B65, 11J82, 11M06, 14H52, 14J32, 33C75, 33F10, 34M50, 40G99, 65B10, 65Q05 (Secondary)
dc.titleRamanujan-type formulae for $1/π$: A second wind?
dc.typetext

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