Preprint
Hypothesis
On the Riemann Hypothesis for the Zeta Function
This version is not peer-reviewed.
Submitted:
31 May 2021
Posted:
01 June 2021
You are already at the latest version
Abstract
In this paper we address some variants for the products of Hadamard and Patterson. We prove that all zeros of the Riemann $\Xi$--function are real. We also prove that the Riemann hypothesis is true. The equivalence theorems associated with the Riemann zeta--function are obtained in detail.
Keywords:
Riemann zeta--function
; entire Riemann zeta--function
; completed Riemann zeta--function
; Riemann $\Xi$--function
; Riemann hypothesis
supplementary.zip (2.21MB )
Copyright: This open access article is published under a Creative Commons CC BY 4.0 license, which permit the free download, distribution, and reuse, provided that the author and preprint are cited in any reuse.
Downloads
830
Views
886
Comments
1
Subscription
Notify me about updates to this article or when a peer-reviewed version is published.
MDPI Initiatives
Important Links
© 2025 MDPI (Basel, Switzerland) unless otherwise stated