An approximate functional equation for the Riemann zeta function with exponentially decaying error

Yochay Jerby

It is known by a formula of Hasse-Sondow that the Riemann zeta function is given, for any $s=\sigma +it\in \mathbb{C}$, by ${\sum }_{n=0}^{\infty }\tilde{A}(n,s)$ where $$ \widetilde…