The generalized Euler constants are defined by formulas
γ(r, k) = limx → ∞ {∑0 < n ≤ x; n ≡ r(mod k) ⅟n - ⅟k log x}.
The explicit formula for γ(r, k) is obtained applying the method of contour integration.
This work is licensed under a Creative Commons Attribution 4.0 International License.