Re: a series

On Dec 8, 7:12 am, Thomas <yutian...@xxxxxxxxx> wrote:
On 12月5日, 下午5时34分, Thomas <yutian...@xxxxxxxxx> wrote:





On 12月4日, 下午11时25分, TCL <tl...@xxxxxxx> wrote:

Some calculations from Maple:
t ---- sum
100 ---- 1.12
1000 ---- 0.508
10^4 ---- -0.023 (negative)
10^5 ---- 3.483
10^6 ---- 1.669
10^7 ---- 8.954
10^8 ---- 0.854
10^9 ---- -0.544 (negative)

It appears highly oscillatory.

Thank you very much. It seems to be bounded.
but I think the oder is \log t or something like this when t large
enough. (maybe NOT O(1)).
Our intersting is to find the asymptotic formula for this finite sum
as t large.

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Where does this problem come from?
.