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Dec 14, 2023 at 18:32 comment added GH from MO @SamayVarjangbhay See en.wikipedia.org/wiki/Hurwitz_zeta_function and the references therein.
Dec 14, 2023 at 15:08 comment added Samay Varjangbhay Do you mind sending a link of the proof of the continuation to $C$?
Dec 14, 2023 at 13:37 history answered GH from MO CC BY-SA 4.0