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

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

2007-12-09

arxiv.org/abs/0712.1332v2

Modular Forms and String Duality, N. Yui, H. Verrill, and C.F. Doran (eds.), Fields Inst. Commun. Ser. 54 (2008), Amer. Math.

Mathematics

Number Theory

13 pages; v2: two typos corrected, references updated, numeration of formulae changed to agree with the published version

Scientific paper

In 1914 S. Ramanujan recorded a list of 17 series for $1/\pi$. We survey the
methods of proofs of Ramanujan's formulae and indicate recently discovered
generalizations, some of which are not yet proven.

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