# An overpartition analogue of partitions with bounded differences between largest and smallest parts

## TL;DR

This paper investigates the generating function for overpartitions with bounded differences between largest and smallest parts, linking it to over q-binomial coefficients and extending classical partition results.

## Contribution

It introduces an overpartition analogue of a classical partition problem and connects it with over q-binomial coefficients, providing new insights into overpartition structures.

## Key findings

- Derived the generating function for overpartitions with bounded differences.
- Connected overpartition problems with over q-binomial coefficients.
- Extended classical partition results to the overpartition context.

## Abstract

We study the generating function for overpartitions with bounded differences between largest and smallest parts, which is analogous to a result of Breuer and Kronholm on integer partitions. We also connect this problem with over $q$-binomial coefficients introduced by Dousse and Kim.