![Author ORCID: We display the ORCID iD icon alongside authors names on our website to acknowledge that the ORCiD has been authenticated when entered by the user. To view the users ORCiD record click the icon. [opens in a new tab]](https://www.cambridge.org/engage/assets/public/coe/logo/orcid.png){kind=logo}
Abstract
In this paper, we consider the representation of the Riemann zeta function $\zeta$ defined by Abel's summation formula. We show that $|\zeta(s)|\neq 0$ for any point $s\in \mathbb{C}$ such that $\Re(s)\in (\frac{1}{2},1)$.
Non trivial zeros of the Riemann zeta function
20 February 2025, Version 17
Working Paper
Authors
This content is an early or alternative research output and has not been peer-reviewed by Cambridge University Press at the time of posting.
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.