A BBP-type formula for the remainder of the Madhava-Gregory-Leibniz series

Published 27 Jul 2025 in math.NT | (2507.20428v1)

Abstract: We derive a BBP-type formula for the remainder of the Madhava-Gregory-Leibniz series for $\pi$. The result is a closed form in base-$16$ with Pochhammer denominators. The analogous formula for the alternating series for $\log 2$ is also presented.

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Benoit Cloitre

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