Easy Proofs of Some Borwein Algorithms for $π$

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

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

Keywords

Number Theory, Classical Analysis and ODEs, 33E05

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/156456

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0803.0991
 http://arxiv.org/abs/0803.0991

Collections

arXiv