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Dec 15, 2021 at 22:34 vote accept Iceman
Dec 15, 2021 at 22:34 comment added Iceman This is neat. For $N=2$ and $s = 2k$ I get e.g. $\zeta(2k) < (\tfrac{1}{2})^{2k}(1+\tfrac{2}{2k-1}) \leq 3 (\tfrac{1}{2})^{2k}$ for $k \in \mathbb{N}$ which is better than what i asked for. Thanks!
Dec 15, 2021 at 21:19 history answered Sean Eberhard CC BY-SA 4.0