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Well, for 3, it'd be none all of them (well, at most one of them is empty, by Big Picard). The zeta function is meromorphic, but not rational, and so has an essential singularity, at infinity.

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Well, for 3, it'd be none of them (well, at most one of them, by Big Picard). The zeta function is meromorphic, but not rational, and so has an essential singularity, at infinity.