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Feb 21, 2010 at 7:08 vote accept Jared Weinstein
Feb 21, 2010 at 7:08 comment added Jared Weinstein So it does. Accept.
Feb 21, 2010 at 5:00 comment added Jared Weinstein The question requires f(s) to be entire, which is excluded if V is trivial -- I've thought of this counterexample already. Can anything be said if V is nontrivial? Still, this example hints at a negative answer to the question, since zeta(s) is regular at 0 whereas the f_n(s) do not converge. So, +1.
Feb 20, 2010 at 19:14 history answered Noah Snyder CC BY-SA 2.5