Easy proofs of Riemann’s functional equation for $\zeta (s)$ and of Lipschitz summation
Easy proofs of Riemann’s functional equation for $\zeta (s)$ and of Lipschitz summation
We present a new, simple proof, based upon Poisson summation, of the Lipschitz summation formula. A conceptually easy corollary is the functional relation for the Hurwitz zeta function. As a direct consequence we obtain a short, motivated proof of Riemann's functional equation for $\zeta (s)$.