Chamberland, Marc; Lopatto, Patrick

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

J. Integer Seq. 14(2), Article 11.2.5, 5 p., electronic only (2011)

Summary

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

Mathematics Subject Classification

11Y60

Keywords/Phrases

$\pi $, Riemann zeta function

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