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Jun 14, 2013 at 12:59 comment added user25199 A particularly nice example is the Epstein zeta function of $\mathbb{Z}^4$ (ie $Q(x_1,x_2,x_3,x_4)=x_1^2+x_2^2+x_3^2+x_4^2$) which is given by $8(1-2^{2-s})\zeta(s)\zeta(s-1)$. Clearly there are zeros on at least two vertical lines.
Apr 14, 2013 at 10:12 history answered Mark Lewko CC BY-SA 3.0