Geodesic
Formulas for odd zeta values and powers of \(\pi \)
Journal of integer sequences, Tome 14 (2011) no. 2
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.
Classification : 11Y60
Keywords: $\pi $, Riemann zeta function 
@article{JIS_2011__14_2_a2,
     author = {Chamberland,  Marc and Lopatto,  Patrick},
     title = {Formulas for odd zeta values and powers of \(\pi \)},
     journal = {Journal of integer sequences},
     year = {2011},
     volume = {14},
     number = {2},
     zbl = {1229.11112},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2011__14_2_a2/}
}
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Chamberland,  Marc; Lopatto,  Patrick. Formulas for odd zeta values and powers of \(\pi \). Journal of integer sequences, Tome 14 (2011) no. 2. http://geodesic.mathdoc.fr/item/JIS_2011__14_2_a2/