$$\prod_{n=1}^\infty \zeta(2n+1)=\zeta(3)\zeta(5)\cdots$$
I have only managed to prove that this converges due to comparison with Euler's formula for $\zeta(2n)$
Is there a closed form for that product?
2026-03-29 20:05:39.1774814739
Is there a closed form for the product of odd zetas?
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Currently, there is no known closed form. See OEIS A$080730$, along with OEIS A$080729$ and OEIS A$021002$.