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Mar 28, 2023 at 2:15 comment added Thomas Kojar the contour-formula should give expressions for general $a$ too. From the residue-expressions the bounds might be easy to get.
Mar 28, 2023 at 2:14 comment added Yaroslav Bulatov I can get explicit formula for specific value of $a$ by plugging it into Mathematica. I'm rather looking for nice bounds, ie, $g(t)<t^{-0.25}$ when $u_i=i^{-1.12}$ and $a_i=-2u_i(1-u_i)$
Mar 28, 2023 at 2:10 comment added Thomas Kojar How about we use the inverse-LT contour formula and residue since it seems that you have exact information on the location of the poles?
Mar 28, 2023 at 2:00 history asked Yaroslav Bulatov CC BY-SA 4.0