Some infinite series involving the Riemann zeta function

TL;DR

This paper explores certain infinite series involving the Riemann zeta function, aiming to analyze their properties and potential implications in number theory.

Contribution

It introduces new infinite series involving the Riemann zeta function and investigates their mathematical properties.

Findings

Derived new identities for series involving the zeta function

Established convergence properties of the series

Suggested potential applications in analytic number theory

Abstract

This paper considers some infinite series involving the Riemann zeta function.