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Aug 29, 2014 at 15:37 comment added Max Lonysa Muller @MikeJury: I intended to ask this question in similar vein to mathoverflow.net/questions/3204/… .
Aug 27, 2014 at 14:37 comment added GH from MO There is a difference between Abel summation and analytic continuation of power series. Abel summation requires that the power series is already analytic in the unit disc.
Aug 27, 2014 at 14:16 answer added Alex Gavrilov timeline score: 5
Aug 27, 2014 at 14:03 history edited GH from MO
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Aug 27, 2014 at 13:14 comment added j.c. @MaxMuller (off-topic) I happened to notice that your user page links to an earlier user page. If you need your accounts merged, that can be done by filling out the form here mathoverflow.net/contact
Aug 27, 2014 at 12:57 comment added BSteinhurst I think (3) is the best bet for anything to work. Once a functional equation is established for the Dirichlet series I would imagine that routine-ish techniques would take over from there. The functional equation would be the tricky part though.
Aug 27, 2014 at 12:48 comment added Mike Jury The limits in (1) and (2) are infinite by straightforward comparisons; I don't know what you mean by (3) since the series does not converge for any value of $s$ near 0.
Aug 27, 2014 at 12:29 history asked Max Lonysa Muller CC BY-SA 3.0