- Title
- More Ramanujan-type formulae for 1/π²
- Creator
- Zudilin, W.
- Relation
- Russian Mathematical Surveys Vol. 62, Issue 3, p. 634-636
- Publisher Link
- http://dx.doi.org/10.1070/RM2007v062n03ABEH004420
- Publisher
- Turpion
- Resource Type
- journal article
- Date
- 2007
- Description
- Some of the most spectacular achievements in the history of the number π are the representations of 1/π by rapidly converging series discovered by Ramanujan in 1914. Although Ramanujan himself did not explain how he arrived at his series, he indicated that they belong to what is now known as ‘the theories of elliptic functions to alternative bases’. The first rigorous mathematical proofs of Ramanujan’s identities in and generalizations of them were given by the Borweins and the Chudnovskys.
- Subject
- Ramanujan-type formulae; 1/π²; elliptic functions; alternative bases
- Identifier
- http://hdl.handle.net/1959.13/934854
- Identifier
- uon:11919
- Identifier
- ISSN:0036-0279
- Rights
- This is an author-created, un-copyedited version of an article accepted for publication in Russian Mathematical Surveys. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The definitive publisher authenticated version is available online at http://dx.doi.org/10.1070/RM2007v062n01ABEH004386.
- Language
- eng
- Full Text
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