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Aug 10, 2017 at 8:04 history edited Brendan McKay CC BY-SA 3.0
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Aug 10, 2017 at 8:00 comment added Brendan McKay @ChristianRemling $i^3/n^2$ can be around a constant in the later part of the first range but there it is overwhelmed by the term $-i^2/(2n)$ and has negligible effect. However the argument might be clearer if the cut is made between $n^{1/2}$ and $n^{2/3}; I'll edit it like that.
Aug 9, 2017 at 22:04 comment added Christian Remling Thanks. I still think you're not establishing the precise constant $\sqrt{\pi/2}$ with your theoretical argument since the $e^{O(i^3/n^2)}=e^{O(1)}$ can contribute to this.
Aug 9, 2017 at 21:45 history edited Brendan McKay CC BY-SA 3.0
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Aug 9, 2017 at 21:31 comment added Brendan McKay @ChristianRemling Yes, I was careless. Fixing now.
Aug 9, 2017 at 9:51 history answered Brendan McKay CC BY-SA 3.0