Non trivial zeros of the generalized  Zeta function

Walid OUKIL

doi:10.33774/coe-2023-sb63n-v15

Mathematics

Search within Mathematics

Non trivial zeros of the generalized Zeta function

23 December 2024, Version 15

Working Paper

Walid OUKIL

Show author details

This content is an early or alternative research output and has not been peer-reviewed by Cambridge University Press at the time of posting.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

In this paper, the generalized Riemann Zeta function is defined on the right half-plane. In particular, this allows us to prove that for every $\tau\in \mathbb{R}$ there exists at most one point $r\in (0,1)$ such that $|\zeta(r+i\tau) |=0$.

Keywords

Zeta function

Non trivial zeros

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 - 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 .

This site is protected by reCAPTCHA and the Google Privacy Policy and Terms of Service apply.