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Disproof of the Euler Product equal to the Riemann Zeta Function

28 August 2024, Version 3
Working Paper
This content is an early or alternative research output and has not been peer-reviewed by Cambridge University Press at the time of posting.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

The author of this article disproves the Euler product equal to the Riemann zeta function that the earlier mathematicians proved, and also provides the main reason why the Euler product is not equal to the Riemann zeta function in this article.

Keywords

computation
infinite product
zeta function

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Version History

Aug 28, 2024 Version 3

Version Notes

In the new version, the subdivision entitled "4.The Main Reason why the Euler Product is not equal to the Riemann Zeta Function" as follows: For comparing the two series like Series (7) and (9), we must follow the following conditions. In the harmonic series, when raising the numbers to any exponent greater than or equal to 2, 1 must be removed from the series because 1 to the power of any number is 1.

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The content is available under CC BY 4.0 [opens in a new tab]

DOI

10.33774/coe-2024-k3jt7-v3
D O I: 10.33774/coe-2024-k3jt7-v3 [opens in a new tab]

Author’s competing interest statement

The author(s) have declared they have no conflict of interest with regard to this content

Ethics

The author(s) have declared ethics committee/IRB approval is not relevant to this content

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