New proofs of Borwein-type algorithms for Pi
Number Theory
2016-04-04 v1
Abstract
We use a method of translation to recover Borweins' quadratic and quartic iterations. Then, by using the WZ-method, we obtain some initial values which lead to the limit . We will not use the modular theory nor either the Gauss' formula that we used in another paper. Our proofs are short and self-contained.
Keywords
Cite
@article{arxiv.1604.00193,
title = {New proofs of Borwein-type algorithms for Pi},
author = {Jesús Guillera},
journal= {arXiv preprint arXiv:1604.00193},
year = {2016}
}
Comments
8 pages