Easy Proofs of Some Borwein Algorithms for $π$

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dc.creatorGuillera, Jesus
dc.date2008-03-07
dc.date.accessioned2026-07-07T09:25:36Z
dc.date.available2026-07-07T09:25:36Z
dc.descriptionIn 1987 Jonathan and Peter Borwein, inspired by the works of Ramanujan, derived many efficient algorithms for computing $π$. We will see that by using only a formula of Gauss's and elementary algebra we are able to prove the correctness of two of them.
dc.descriptionTo appear in The American Mathematical Monthly. (6 pages)
dc.identifierhttps://arxiv.org/abs/0803.0991
dc.identifierhttp://arxiv.org/abs/0803.0991
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/156456
dc.subjectNumber Theory
dc.subjectClassical Analysis and ODEs
dc.subject33E05
dc.titleEasy Proofs of Some Borwein Algorithms for $π$
dc.typetext

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