Some modular identities of Ramanujan useful in approximating $\pi$
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- by Jon Borwein PDF
- Proc. Amer. Math. Soc. 95 (1985), 365-371 Request permission
Abstract:
We show how various modular identities due to Ramanujan may be used to produce simple high order approximations to $\pi$. Various specializations are considered and the Gaussian arithmetic geometric mean formula for $\pi$ is rederived as a consequence.References
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Additional Information
- © Copyright 1985 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 95 (1985), 365-371
- MSC: Primary 11F03; Secondary 11J72, 41A25
- DOI: https://doi.org/10.1090/S0002-9939-1985-0806072-6
- MathSciNet review: 806072