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Aug 17, 2017 at 3:46 comment added reuns Also $\prod_{n=0}^{N-1} \zeta(s+n)$ has its own functional equation. It is the zeta function of the projective variety $ \mathbb{P}^N$ and it should be the Mellin transform of an automorphic Eisenstein series.
Aug 16, 2017 at 22:36 history answered Henri Cohen CC BY-SA 3.0