Timeline for Is the abscissa of convergence of $s\mapsto\sum_{n>0}(ng_{n}/2)^{-s}$ known?
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| Feb 18, 2020 at 21:10 | comment | added | Alexander Kalmynin | @SylvainJULIEN, you see, the abscissa of convergence in this case is more about lower bounds. You can have $g_{n\ln n}=2$ and all other values as large as you want and still get the same result. There are conjectures on moments of $g_n$, maybe they can give us something about the behaviour of $\zeta_{Pol}$ but probably not vice versa | |
| Feb 18, 2020 at 20:34 | comment | added | Sylvain JULIEN | Many thanks to the both of you. I guess no non trivial upper bound for $g_n$ can be deduced from this result? | |
| Feb 18, 2020 at 20:26 | history | answered | Alexander Kalmynin | CC BY-SA 4.0 |