Article
Version 2
Preserved in Portico This version is not peer-reviewed
Deriving Von Koch's Inequality Without Using the Riemann Hypothesis
Version 1
: Received: 25 November 2021 / Approved: 6 December 2021 / Online: 6 December 2021 (12:57:54 CET)
Version 2 : Received: 6 May 2022 / Approved: 6 May 2022 / Online: 6 May 2022 (12:45:00 CEST)
Version 2 : Received: 6 May 2022 / Approved: 6 May 2022 / Online: 6 May 2022 (12:45:00 CEST)
How to cite: Fujino, S. Deriving Von Koch's Inequality Without Using the Riemann Hypothesis. Preprints 2021, 2021120074. https://doi.org/10.20944/preprints202112.0074.v2 Fujino, S. Deriving Von Koch's Inequality Without Using the Riemann Hypothesis. Preprints 2021, 2021120074. https://doi.org/10.20944/preprints202112.0074.v2
Abstract
In this paper, we derive Von Koch's inequality without using the Riemann Hypothesis. As well known, Von Koch's inequality is equivalent to the Riemann Hypothesis. Namely, we show that the Riemann Hypothesis is true. Furthermore, we show that the upper limit of its can be lowered.
Keywords
Number theory; Von Koch's inequality; Riemann Hypothesis
Subject
Computer Science and Mathematics, Algebra and Number Theory
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Comments (1)
We encourage comments and feedback from a broad range of readers. See criteria for comments and our Diversity statement.
Leave a public commentSend a private comment to the author(s)
* All users must log in before leaving a comment
Commenter: Seiji Fujino
Commenter's Conflict of Interests: Author
1. Fixed Abstract, Conclusion and Acknowledge.
2. Corrected unclear part of description (unified the meaning of $\alpha$ to Constant, etc.)
3. Corrected references.