Mellin inversion: the smoothed partial sum $\sum a(n)\widetilde{1_\varepsilon}(n/X)$ as a vertical contour integral of $\sum a(n)n^{-s}$

Initializing...

Mellin inversion: the smoothed partial sum $\sum a(n)\widetilde{1_\varepsilon}(n/X)$ as a vertical contour integral of $\sum a(n)n^{-s}$ · Prove2Me