Cambridge Open Engage has retracted the following preprint: On the zeros of the Riemann zeta function on the critical line, version 4 by Yukitaka Abe, 10.33774/coe-2022-fdk71-v4. It was brought to the attention of the platform that the second limit (p.10) used in the proof of Theorem 1 is false. The basis for this argument does not work for this preprint. The online preprint has been amended to state that the preprint has been retracted.
RETRACTED:
On the zeros of the Riemann zeta function on the critical line
This content is an early or alternative research output and has not been peer-reviewed by Cambridge University Press at the time of posting.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
This is the continuation of the previous paper. By the same method as in the proof of the Riemann hypothesis, we prove that every zero of the Riemann zeta function on the critical line is simple for $t>T_0$, where $T_0$ is a constant.