# A simple proof of a congruence for a series involving the little $q$-Jacobi polynomials

## TL;DR

This paper provides a straightforward and explicit proof of a modulo 4 congruence related to a series involving little q-Jacobi polynomials, originating from overpartition function research.

## Contribution

It introduces a simple, explicit proof of a specific congruence for a series with little q-Jacobi polynomials, enhancing understanding of related partition functions.

## Key findings

- Proves a mod 4 congruence for a series involving little q-Jacobi polynomials
- Simplifies previous proofs with a more direct approach
- Connects polynomial series to overpartition functions

## Abstract

We give a simple and a more explicit proof of a mod $4$ congruence for a series involving the little $q$-Jacobi polynomials which arose in a recent study of a certain restricted overpartition function.