I ran across a cool series I have been trying to chip away at.
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Craig Mendoza
Answered question
2022-06-27
I ran across a cool series I have been trying to chip away at.
Answer & Explanation
We have
In the sum on the last line, we may gather together the coefficients of each logarithm (terms at the boundary of the sum are a little funny), giving
Here, I am taking
as the definition of the Glaisher-Kinkelin constant.
Do you have a similar question?
Recalculate according to your conditions!