- Title
- Some modular identities of Ramanujan useful in approximating π
- Creator
- Borwein, Jon
- Relation
- Proceedings of the American Mathematical Society Vol. 95, Issue 3, p. 365-371
- Publisher Link
- http://dx.doi.org/10.1090/S0002-9939-1985-0806072-6
- Publisher
- American Mathematical Society (AMS)
- Resource Type
- journal article
- Date
- 1985
- Description
- We show how various modular identities due to Ramanujan may be used to produce simple high order approximations to π. Various specializations are considered and the Gaussian arithmetic geometric mean formula for π is rederived as a consequence.
- Subject
- Ramanujan; Pi; Gaussian functions
- Identifier
- http://hdl.handle.net/1959.13/940539
- Identifier
- uon:13037
- Identifier
- ISSN:0002-9939
- Rights
- First published in Proceedings of the American Mathematical Society in Vol. 95, No. 3, pp. 365-371, published by the American Mathematical Society.
- Language
- eng
- Full Text
- Reviewed
- Hits: 2340
- Visitors: 2953
- Downloads: 189
| Thumbnail | File | Description | Size | Format | |||
|---|---|---|---|---|---|---|---|
| View Details Download | ATTACHMENT01 | Publisher version (open access) | 496 KB | Adobe Acrobat PDF | View Details Download |