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Computation of Analog Theorem for Dirichlet Eta Function and Riemann Zeta Function

06 September 2024, Version 2
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This content is an early or alternative research output and has not been peer-reviewed by Cambridge University Press at the time of posting.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

This paper discusses how the Dirichlet eta function relates to the alternative harmonic series and the Riemann zeta function in more detail. In this article, theorems on series involving the alternative harmonic series, the Dirichlet eta function, and the Riemann zeta function are provided to improve the research techniques further in the area of analytic number theory.

Keywords

computation
dirichlet series
geometric series
zeta function

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Version History

Sep 06, 2024 Version 2

Version Notes

In the new version, the sub-division entitled "4. Theorem for Dirichlet Eta Function and Riemann Zeta Function" has been added.

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

DOI

10.33774/coe-2024-bcsk5-v2
D O I: 10.33774/coe-2024-bcsk5-v2 [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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