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.



![Author ORCID: We display the ORCID iD icon alongside authors names on our website to acknowledge that the ORCiD has been authenticated when entered by the user. To view the users ORCiD record click the icon. [opens in a new tab]](https://www.cambridge.org/engage/assets/public/coe/logo/orcid.png)