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arXiv · 2203.09465

Infinite series for $\pi/3$ and other identities

Robert Schneider
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Abstract

Using techniques from calculus, we combine classical identities for $\pi$, $\operatorname{ln}2$, and harmonic numbers, to arrive at a nice infinite series formula for $\pi/3$ that does not appear to be well known. In addition, we give twenty-seven related identities involving $\pi$ and other irrational numbers. Posted in celebration of Pi Day 2022.

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Robert Schneider. 2022-03-16. Infinite series for $\pi/3$ and other identities. https://arxiv.org/abs/2203.09465

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