Shifting the ordinates of zeros of the Riemann zeta function

William D. Banks

Let $y\ne 0$ and $C>0$. Under the Riemann Hypothesis, there is a number $T_{\ast }>0$ $($depending on $y$ and $C)$ such that for every $T\ge T_{\ast }$, both \[ ζ(\tfrac12+iγ)=0 \quad\text{a…