Two identities involving the cubic partition function

TL;DR

This paper presents new identities related to the cubic partition function, including a novel proof of Chan's identity and an analogue of Zuckerman's identity, expanding understanding of partition functions.

Contribution

It introduces a new proof of Chan's identity and a novel identity for the cubic partition function analogous to Zuckerman's, advancing theoretical knowledge.

Findings

New proof of Chan's identity for the cubic partition function

A new identity for the cubic partition function similar to Zuckerman's

Enhanced understanding of identities involving cubic partition functions

Abstract

We give a new proof of Chan's identity involving the cubic partition function and we also give a new identity for the cubic partition function which is analogues to the Zuckerman's identity for the ordinary partition function.