# Geometric Polynomials: Properties and Applications to Series with Zeta Values

## TL;DR

This paper explores properties of geometric polynomials and demonstrates their use in deriving closed-form evaluations of series involving the Riemann zeta function.

## Contribution

It introduces new properties of geometric polynomials and applies them to evaluate series with zeta values in closed form.

## Key findings

- Derived new properties of geometric polynomials.
- Provided closed-form evaluations for series involving zeta functions.
- Enhanced understanding of the connection between geometric polynomials and zeta series.

## Abstract

We provide several properties of the geometric polynomials discussed in earlier works of the authors. Further, the geometric polynomials are used to obtain a closed form evaluation of certain series involving Riemann's zeta function.