Sum of Zeta Constants
The following sums can be derived from the generating function:
where is the digamma function.
Series related to the Euler–Mascheroni constant (denoted by γ) are
and using the principle value (which of course effects only the value at 1) these formulae can be stated nicer as
and show that they "live" only because the principle value of .
Read more about this topic: Zeta Constant
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