A note on the $l$-fold Bailey Lemma and Mixed Mock Modular forms

TL;DR

This paper introduces a method for constructing multiple-sum q-series related to Mixed Mock Modular forms, providing new identities and combinatorial interpretations involving partitions.

Contribution

It develops a novel approach to generate multi-sum q-series for Mixed Mock Modular forms and extends classical identities with combinatorial insights.

Findings

New multi-sum identities for Mixed Mock Modular forms

Analogues of the Durfee identity in a multi-sum context

Partition-based combinatorial interpretations

Abstract

In this paper we present a method for constructing multiple-sum $q$-series for what is known as Mixed Mock Modular forms. We also present some multi-sum analogues of the Durfee identity, and discuss a construction of its combinatorial interpretation in terms of partitions.