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Explicit Ramanujan-type approximations to pi of higher order

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Publication:1108311
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DOI10.1007/BF02837813zbMath0654.10025WikidataQ56935980 ScholiaQ56935980MaRDI QIDQ1108311

Peter B. Borwein, Jonathan M. Borwein

Publication date: 1987

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)


zbMATH Keywords

Ramanujan's Nth order modular equationsrecursive algebraic approximations to \(\pi \)


Mathematics Subject Classification ID

Discontinuous groups and automorphic forms (11F99) Homogeneous approximation to one number (11J04)


Related Items

Best \(k\)-digit rational bounds for irrational numbers: pre- and super-computer era ⋮ Birth, growth and computation of pi to ten trillion digits ⋮ Ramanujan's cubic transformation and generalized modular equation ⋮ Best \(k\)-digit rational approximation of irrational numbers: pre-computer versus computer era



Cites Work

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  • Ramanujan, Modular Equations, and Approximations to Pi or How to Compute One Billion Digits of Pi
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