New proofs of Borwein-type algorithms for Pi
classification
🧮 math.NT
keywords
proofsalgorithmsanotherborwein-typeborweinseitherformulagauss
read the original 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 $1/\pi$. 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.
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