Easy Proofs of Some Borwein Algorithms for $π$

Details Easy Proofs of Some Borwein Algorithms for $π$ Easy Proofs of Some Borwein Algorithms for $π$

2008-03-07

arxiv.org/abs/0803.0991v1

Mathematics

Number Theory

To appear in The American Mathematical Monthly. (6 pages)

Scientific paper

In 1987 Jonathan and Peter Borwein, inspired by the works of Ramanujan,
derived many efficient algorithms for computing $\pi$. 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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