# On simplifications of certain $q$-multisums

## TL;DR

This paper explores specific multisum $q$-series that can be expressed as simpler fermionic sums, providing new identities proved through basic hypergeometric series transformations.

## Contribution

It introduces new representations of multisum $q$-series as fermionic sums and proves these identities using hypergeometric transformations.

## Key findings

- Multisum $q$-series can be represented as fermionic sums.
- New identities are established for these series.
- Transformation formulas from hypergeometric series are used for proofs.

## Abstract

Some examples of naturally arising multisum $q$-series which turn out to have representations as fermionic single sums are presented. The resulting identities are proved using transformation formulas from the theory of basic hypergeometric series.