A remark on the Riemann zeta function

14 December 2023, Version 9
This content is an early or alternative research output and has not been peer-reviewed by Cambridge University Press at the time of posting.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

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