What is the radius of convergence of the aforementioned series ? If I recall correctly, I once saw a post here on MO claiming that it converges for $\Re(s) > 1/2$, but I can't seem to find the post anymore.
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2$\begingroup$ mathoverflow.net/questions/219638/… $\endgroup$ – Bullet51 Jun 25 at 12:03

$\begingroup$ @Bullet51, thanks for the link. $\endgroup$ – vettel Jun 25 at 14:41