A remark on the Riemann hypothesis

12 December 2022, Version 7
This content is an early or alternative research output and has not been peer-reviewed by Cambridge University Press at the time of posting.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 prove that if the number of nontrivial zeros of the Riemann zeta function which are not on the critical line is finite, then every nontrivial zero is on the critical line.

Keywords

the Riemann hypothesis
the Riemann zeta function

Comments

Comments are not moderated before they are posted, but they can be removed by the site moderators if they are found to be in contravention of our Commenting and Discussion Policy [opens in a new tab] - please read this policy before you post. Comments should be used for scholarly discussion of the content in question. You can find more information about how to use the commenting feature here [opens in a new tab] .
This site is protected by reCAPTCHA and the Google Privacy Policy [opens in a new tab] and Terms of Service [opens in a new tab] apply.