A proof of the Gregory-Leibniz series and new series for calculating pi

Frank W. K. Firk

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arXiv · 0909.1523

A proof of the Gregory-Leibniz series and new series for calculating pi

Frank W. K. Firk

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Abstract

A non-traditional proof of the Gregory-Leibniz series, based on the relationships among the zeta function, Bernoulli coefficients, and the Laurent expansion of the cotangent is given. New series for calculating pi are obtained.

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Frank W. K. Firk. 2009-09-08. A proof of the Gregory-Leibniz series and new series for calculating pi. https://arxiv.org/abs/0909.1523

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