ζ(s) meromorphic on ℂ with simple pole at s=1 (residue 1). Via Γ-function contour, Mellin transform of θ, or Euler-Maclaurin.
ζ(s) meromorphic on ℂ with simple pole at s=1 (residue 1). Via Γ-function contour, Mellin transform of θ, or Euler-Maclaurin.