This content is an early or alternative research output and has not been peer-reviewed by Cambridge University Press at the time of posting.
Abstract
We define the generalized Riemann Zeta function on the right half plane. We prove, in particular, that for every $\tau\in \mathbb{R}$ there exists at most one point $r\in (0,1)$ such that $|\zeta(r+i\tau) |=0$.