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arXiv · 0803.0991

Easy Proofs of Some Borwein Algorithms for $π$

Jesus Guillera
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Abstract

In 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.

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Jesus Guillera. 2008-03-07. Easy Proofs of Some Borwein Algorithms for $π$. https://arxiv.org/abs/0803.0991

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