Particular Values
Further information: Zeta constant- η(0) = 1⁄2, the Abel sum of Grandi's series 1 − 1 + 1 − 1 + · · ·.
- η(−1) = 1⁄4, the Abel sum of 1 − 2 + 3 − 4 + · · ·.
- For k an integer > 1, if Bk is the k-th Bernoulli number then
Also:
- , this is the alternating harmonic series
- A072691
The general form for even positive integers is:
Read more about this topic: Dirichlet Eta Function
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