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arXiv · 2406.00567

Formulas for odd zeta values and powers of $\pi$

Marc Chamberland·Patrick Lopatto
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Abstract

Plouffe conjectured rapidly converging series formulas for $\pi^{2n+1}$ and $\zeta (2n+1)$ for small values of $n$. We find the general pattern for all nonnegative integer values of $n$ and offer a proof.

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Marc Chamberland, Patrick Lopatto. 2024-06-01. Formulas for odd zeta values and powers of $\pi$. https://arxiv.org/abs/2406.00567

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