On the Asymptotics to all Orders of the Riemann Zeta Function and of a Two-Parameter Generalization of the Riemann Zeta Function

A. S. Fokas, J. Lenells

We present several formulae for the large $t$ asymptotics of the Riemann zeta function $\zeta (s)$, $s=\sigma +it$, $0\le \sigma \le 1$, $t>0$, which are valid to all orders. A particular case o…